1,728 research outputs found
On Mean Ergodic Operators
Aspects of the theory of mean ergodic operators and bases in Fréchet spaces were recently developed in [A.A. Albanese, J. Bonet, W.J. Ricker, Mean ergodic operators i Fréchet spaces, Ann. Acad. Sci. Math. Fenn. Math. 34 (2009), 1-36]. This investigation is extended here to the class of barrelled locally convex spaces. Duality theory, also for operators, plays a prominent role
Micromorphological analysis of glacial sediments in Antarctica: An example from the Ricker Hills tillite.
A number of sections of tillite and glacio-deformed bedrock have been collected at Ricker Hills (Victoria Land). The thin section have been analyzed and described with a micromorphological approach for characterizing the depositional environment
A Generalized Computer Program For the Ricker Model of Equilibrium Yield Per Recruitment
The Ricker method for predicting the yield per recruitment from a stock of fish under various conditions is superior to that of Beverton and Holt (1957) under most conditions because it permits greater flexibility of the input of growth and mortality data. Such useful devices as the isopleth diagram and the eumetric fishing curve, usually associated with the Beverton and Holt method, can be used also with the Ricker method. A computer program for the Ricker method is described, and its use is demonstrated with an example. </jats:p
Embedding Environmental Factors into Stock-Recruitment Relationship - An Overview on Semiparametric Ricker Model
Embedding Environmental Factors into Stock-Recruitment Relationship - An Overview on Semiparametric Ricker Mode
Operators acting in the dual spaces of discrete Cesàro spaces
[EN] The discrete Cesaro (Banach) sequence spaces ces(r),1<r<infinity, have been thoroughly investigated for over 45 years. Not so for their dual spaces d(s) approximately equal to (ces(r))', which are somewhat unwieldy. Our aim is to undertake a further study of the spaces d(s) and of various operators acting between these spaces. It is shown that d(s)subset of d(t) whenever s <= t, with the inclusion being compact if s<t.The classical Cesaro operator C is continuous from d(s) into d(t) precisely when s <= t and compact precisely when s<t. Moreover, C even maps the larger space ces(s) continuously into d(s). This is a consequence of the Hardy-Littlewood maximal theorem and the remarkable property, for each 1<s<infinity, that x is an element of CN if and only if C(|x|)is an element of d(s). These results are used to analyze the spectrum and to determine the norm and the mean ergodicity of C acting in d(s). Similar properties for multiplier operators are also treated.The research of Prof. Jose Bonet was partially supported by the projects MTM 2016-76647-P and GV Prometeo 2017/102 (Spain).Bonet Solves, JA.; Ricker, W. (2020). Operators acting in the dual spaces of discrete Cesàro spaces. Monatshefte für Mathematik. 191(3):487-512. https://doi.org/10.1007/s00605-020-01370-2S4875121913Albanese, A.A., Bonet, J., Ricker, W.J.: Multiplier and averaging operators in the Banach spaces . Positivity 23, 177–193 (2019)Arendt, W.: On the o-spectrum of regular operators and the spectrum of measures. Math. Z. 178, 271–287 (1981)Astashkin, S.V., Maligranda, L.: Structure of Cesàro function spaces. Indag. Math. (N.S.) 20, 329–379 (2009)Astashkin, S.V., Maligranda, L.: Structure of Cesàro function spaces: a survey. In: Hudzik, H., Lewicki, G., Musielak, J., Nowak, M., Skrzypczak, L., Wisła, M. (eds.) Function Spaces X, vol. 102, pp. 13–40. Banach Center Publications, Institute of Mathematics of the Polish Academy of Sciences, Warsaw (2014)Bachelis, G.F.: On the upper and lower majorant properties in . Q. J. Math. Oxf. II Ser. 24, 119–128 (1973)Bennett, G.: Factorizing the Classical Inequalities, vol. 576. Memoirs American Mathematical Society, Providence (1996)Bennett, G., Grosse-Erdmann, K.-G.: Weighted Hardy inequalities for decreasing sequences and functions. Math. Ann. 334, 489–531 (2006)Bonet, J., Ricker, W.J.: Order spectrum of the Cesàro operator in Banach lattice sequence spaces. Positivity. https://doi.org/10.1007/s11117-019-00699-9Bourdon, P.S., Feldman, N.S., Shapiro, J.H.: Some properties of -supercyclic operators. Stud. Math. 165, 135–157 (2004)Bueno-Contreras, J.: The Cesàro Spaces of Dirichlet Series. Ph.D. Thesis, Instituto de Matemàticas Univ. Sevilla IMUS, Universidad de Sevilla, Spain (2018)Bueno-Contreras, J., Curbera, G.P., Delgado, O.: The Cesàro space of Dirichlet series and its multiplier algebra. J. Math. Anal. Appl. 475, 1448–1471 (2019)Curbera, G.P., Ricker, W.J.: Solid extensions of the Cesàro operator on the Hardy space . J. Math. Anal. Appl. 407, 387–397 (2013)Curbera, G.P., Ricker, W.J.: A feature of averaging. Integral Equ. Oper. Theory 76, 447–449 (2013)Curbera, G.P., Ricker, W.J.: Solid extensions of the Cesàro operator on and . Integral Equ. Oper. Theory 80, 61–77 (2014)Curbera, G.P., Ricker, W.J.: The Cesàro operator and unconditional Taylor series in Hardy spaces. Integral Equ. Oper. Theory 83, 179–195 (2015)Day, M.M.: Normed Linear Spaces, 3rd edn. Springer, Berlin (1973)Dunford, N., Schwartz, J.T.: Linear Operators I: General Theory. Wiley Interscience Publisher Inc., New York (1964)Grosse-Erdmann, K.-G.: The Blocking Technique, Weighted Mean Operators and Hardy’s Inequality. Lecture Notes in Mathematics, vol. 1679. Springer, Berlin (1998)Grosse-Erdmann, K.-G., Peris Manguillot, A.: Linear Chaos. Springer, London (2011)Hardy, G.H., Littlewood, J.E., Pólya, G.: Inequalities. Cambridge University Press, Cambridge (1934)Jagers, A.A.: A note on Cesàro sequence spaces. Nieuw Arch. Wisk. 22, 113–124 (1974)Köthe, G.: Topological Vector Spaces I. Springer, Berlin (1983)Leibowitz, G.: Spectra of discrete Cesàro operators. Tamkang J. Math. 3, 123–132 (1972)Leśnik, K., Maligranda, L.: Abstract Cesàro spaces. Duality. J. Math. Anal. Appl. 424, 932–951 (2015)Lin, M.: On the uniform ergodic theorem. Proc. Am. Math. Soc. 43, 337–340 (1974)Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces I and II. Springer, Berlin (1996)Maligranda, L., Petrot, N., Suantai, S.: On the James constant and -convexity of Cesàro and Cesàro–Orlicz sequence spaces. J. Math. Anal. Appl. 326, 312–331 (2007)Meyer-Nieberg, P.: Banach Lattices. Springer, Berlin (1991)Okada, S., Ricker, W.J., Sánchez-Pérez, E.A.: Optimal Domain and Integral Extension of Operators Acting in Function Spaces, Operator Theory Advances and Applications, vol. 180. Birkhäuser, Berlin (2008)Reade, J.B.: On the spectrum of the Cesàro operator. Bull Lond. Math. Soc. 117, 263–267 (1985)Ricker, W.J.: Convolution operators in discrete Cesàro spaces. Arch. Math. 112, 71–82 (2019)Ricker, W.J.: The order spectrum of convolution operators in discrete Cesàro spaces. Indag. Math. (N.S.) 30, 527–535 (2019)Schaefer, H.H.: Banach Lattices and Positive Operators. Springer, Berlin (1974)Schaefer, H.H.: On the o-spectrum of order bounded operators. Math. Z. 154, 79–84 (1977)Zaanen, A.C.: Riesz Spaces II. North Holland, Amsterdam (1983
The ancestry of Thomas Lovell and his wife Mary Ellen Ricker,
Includes also the Ricker, Wentworth, Perkins, Morrill, Johnson, Whittemore and Weston families.Four blank pages for "Family records" at end.Morrill family sources: p. 78.Mode of access: Internet
Order spectrum of the Cesàro operator in Banach lattice sequence spaces
[EN] The discrete Cesàro operator C acts continuously in various classical Banach sequence spaces within CN. For the coordinatewise order, many such sequence spaces X are also complex Banach lattices [eg. c0,¿p for 1<p¿¿, and ces(p) for p¿{0}¿(1,¿)]. In such Banach lattice sequence spaces, C is always a positive operator. Hence, its order spectrum is well defined within the Banach algebra of all regular operators on X. The purpose of this note is to show, for every X belonging to the above list of Banach lattice sequence spaces, that the order spectrum ¿o(C) of Ccoincides with its usual spectrum ¿(C) when C is considered as a continuous linear operator on the Banach space X.The research of the first author (J. Bonet) was partially supported by the Projects MTM2016-76647-P and GV Prometeo 2017/102 (Spain).Bonet Solves, JA.; Ricker, WJ. (2020). Order spectrum of the Cesàro operator in Banach lattice sequence spaces. Positivity. 24(3):593-603. https://doi.org/10.1007/s11117-019-00699-9S593603243Albanese, A.A., Bonet, J., Ricker, W.J.: Spectrum and compactness of the Cesàro operator on weighted spaces. J. Aust. Math. Soc. 99, 287–314 (2015)Albanese, A.A., Bonet, J., Ricker, W.J.: Mean ergodicity and spectrum of the Cesàro operator on weighted spaces. Positivity 20, 761–803 (2016)Arendt, W.: On the o-spectrum of regular operators and the spectrum of measures. Math. Z. 178, 271–287 (1981)Bennett, G.: Factorizing the classical inequalities. Mem. Am. Math. Soc. 120(576), 1–130 (1996)Bonsall, F.F., Duncan, J.: Complete Normed Algebras. Springer, Heidelberg (1973)Curbera, G.P., Ricker, W.J.: Spectrum of the Cesàro operator in . Arch. Math. (Basel) 100, 267–271 (2013)Curbera, G.P., Ricker, W.J.: Solid extensions of the Cesàro operator on the Hardy space . J. Math. Anal. Appl. 407, 387–397 (2013)Curbera, G.P., Ricker, W.J.: Solid extensions of the Cesàro operator on and . Integral Equ. Oper. Theory 80, 61–77 (2014)de Pagter, B., Ricker, W.J.: Algebras of multiplication operators in Banach function spaces. J. Oper. Theory 42, 245–267 (1999)Fremlin, D.H.: Topological Riesz Spaces and Measure Theory. Cambridge University Press, Cambridge (1974)Hardy, G.H., Littlewood, J.E., Polya, G.: Inequalities, 2nd edn. Cambridge University Press, Cambridge (1964)Leibowitz, G.: Spectra of discrete Cesàro operators. Tamkang J. Math. 3, 123–132 (1972)Leibowitz, G.: Discrete Hausdorff transformations. Proc. Am. Math. Soc. 38, 541–544 (1973)Reade, J.B.: On the spectrum of the Cesàro operator. Bull. Lond. Math. Soc. 17, 263–267 (1985)Rhoades, B.E.: Spectra of some Hausdorff matrices. Acta Sci. Math. (Szeged) 32, 91–100 (1971)Rhoades, B.E.: Generalized Hausdorff matrices bounded on and . Acta Sci. Math. (Szeged) 43, 333–345 (1981)Schaefer, H.H.: Banach Lattices and Positive Operators. Springer, Berlin (1974)Schaefer, H.H.: On the o-spectrum of order bounded operators. Math. Z. 154, 79–84 (1977)Taylor, A.E.: Introduction to Functional Analysis. Wiley, New York (1958
Mexico´s forest diversity: wood densities
The data are associated with the following article (please look there for all information): Ricker, M., M.Á. Castillo-Santiago, G. Gutiérrez-García, E.M. Martínez, and E. Mondragón. Dataset about Mexico’s forest diversity: site locations of tree species, wood densities, and geographic database of forest-vegetation provinces. Data in Brief. Under review (January 2024).THIS DATASET IS ARCHIVED AT DANS/EASY, BUT NOT ACCESSIBLE HERE. TO VIEW A LIST OF FILES AND ACCESS THE FILES IN THIS DATASET CLICK ON THE DOI-LINK ABOV
The Ricker Hills Tillite provides evidence of Oligocene warm-based glaciation in Victoria Land, Antarctica
The relationship between the Ricker Hills Tillite (RHT), which represents the northernmost outcrop of lithified continental glacial deposits in Victoria Land, is discussed with respect to the glacial landscape assemblage of the Ricker Hills, a nunatak at the internal border of the Transantarctic Mountains. A warm-based ice sheet deposited the tillite and induced syn- to post-depositional glacial deformation under wet conditions both of the tillite and of the bedrock. The thickness of the ice sheet on the nunatak is estimated to have been 600 m, at most. The area had been deeply eroded before deposition of the RHT as documented by the low elevation of tillite outcrops located in overdeepened depressions of the nunatak. Micropaleontological analysis evidences only the presence of Permian to Jurassic palynomorphs. X-ray diffraction and SEM–EDS analyses of clay minerals in the RHT indicate continental chemical weathering under wet conditions after the RHT deposition. As documented by clay mineral assemblage variation in CRP drillholes, the progressive cooling of the Antarctic continent allowed chemical weathering in “warm” conditions until the Late Oligocene period in southern Victoria Land, leading to a chronological constrain for RHT deposition. Conservatively estimating the sea level to have been between the tillite outcrops and the erosional trimline limiting horns in the Ricker Hills, at the time of RHT deposition, we suggest that the maximum uplift of the area would not have exceeded 900–1500 m since at least Late Oligocene
Mexico's forest diversity: forest-vegetation provinces
The data are associated with the following article (please look there for all information): Ricker, M., M.Á. Castillo-Santiago, G. Gutiérrez-García, E.M. Martínez, and E. Mondragón. Dataset about Mexico’s forest diversity: site locations of tree species, wood densities, and geographic database of forest-vegetation provinces. Data in Brief. Under review (January 2024).THIS DATASET IS ARCHIVED AT DANS/EASY, BUT NOT ACCESSIBLE HERE. TO VIEW A LIST OF FILES AND ACCESS THE FILES IN THIS DATASET CLICK ON THE DOI-LINK ABOV
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