1,196 research outputs found
Extensions of the Noncommutative Integration
No full textIn this paper we will continue the analysis undertaken in Bagarello et al. (Rend Circ Mat Palermo (2) 55:21–28, 2006), Bongiorno et al. (Rocky Mt J Math 40(6):1745–1777, 2010), Triolo (Rend Circ Mat Palermo (2) 60(3):409–416, 2011) on the general problem of extending the noncommutative integration in a *-algebra of measurable operators. As in Aiena et al. (Filomat 28(2):263–273, 2014), Bagarello (Stud Math 172(3):289–305, 2006) and Bagarello et al. (Rend Circ Mat Palermo (2) 55:21–28, 2006), the main problem is to represent different types of partial *-algebras into a *-algebra of measurable operators in Segal’s sense, provided that these partial *-algebras posses a sufficient family of positive linear functionals (states) (Fragoulopoulou et al., J Math Anal Appl 388(2):1180–1193, 2012; Trapani and Triolo, Stud Math 184(2):133–148, 2008; Trapani and Triolo, Rend Circolo Mat Palermo 59:295–302, 2010; La Russa and Triolo, J Oper Theory, 69:2, 2013; Triolo, J Pure Appl Math, 43(6):601–617, 2012). In this paper, a new condition is given in an attempt to provide a extension of the non commutative integration
An invariant analytic orthonormalization procedure with applications
No full textWe apply the orthonormalization procedure previously introduced by Bagarello and Triolo [J. Math. Phys. 48, 043505 (2007)] and adopted in connection with coherent states to Gabor frames and other examples. For instance, for Gabor frames, we show how to construct g(x) ∈ L 2(R) in such a way the functions gn(x)=e ian1xg(x+an2), n ∈ Z2 and a some positive real number, are mutually orthogonal. We discuss in some detail the role of the lattice naturally associated with the procedure in this analysis
A note on states and traces from biorthogonal sets
No full textIn this paper, following Bagarello, Trapani, and myself, we generalize the Gibbs states and their related KMS-like conditions. We have assumed that H0, H are closed and, at least, densely defined, without giving information on the domain of these operators. The problem we address in this paper is therefore to find a dense domain D that allows us to generalize the states of Gibbs and take them in their natural environment i.e., defined in L†(D)
Some classes of quasi *-algebras
No full textIn this paper we will continue the analysis undertaken in [1] and in [2] [20] our investigation on the structure of Quasi-local quasi *-algebras possessing a sufficient family of bounded positive tracial sesquilinear forms. In this paper it is shown that any Quasi-local quasi *-algebras (A, A0), possessing a ”sufficient state” can be represented as non-commutative L2- spaces
Vapor d'acqua e reazioni esotermiche per il contenimento di patogeni tellurici: esperienze su Sclerotinia minor Jagger e Rhizoctonia solani Khun
No full textOn S-Weyl’s theorem and property (t) for some classes of operators
No full textIn this paper we consider two new variants of the classical
Weyl ’s theorem for operators defined on Banach spaces. These variants
called S-Weyl’s theorem and property (t) are stronger than the more
classical variants of Weyl’s theorem, as a-Weyl’s theorem and property
(ω) studied by several authors. In particular, we explore these two new
variants for operators that commute with an injective quasi-nilpotent
operator
Representations of Quasi–local quasi *–algebras and non–commutative integration
No full textIn this paper we are going to continue the analysis undertaken in [1] and [2]
about the investigation on Quasi-local quasi *-algebras and their structure. Our
aim is to show that any *-semisimple Quasi-local quasi *-algebra (A,A0) can
be represented as a class of non-commutative L1-spaces
CQ -algebras of measurable operators
No full textWe study, from a quite general point of view, a CQ*-algebra (X, A0) possessing a sufficient family
of bounded positive tracial sesquilinear forms. Non-commutative L^2 -spaces are shown to constitute examples
of a class of CQ*-algebras and any abstract CQ*-algebra (X, A0) possessing a sufficient family of bounded
positive tracial sesquilinear forms can be represented as a direct sum of non-commutative L^2-spaces
Effect of exothermic reactions in steaming treatments: trials on sclerotia survival using an ad hoc constructed apparatos
No full textControl of soilborne pathogens using steam combined with exothermic reaction chemicals (Bioflash system) is widely investigated from 1999, with interesting results considering disease reduction in open field condition against Sclerotinia minor and Sclerotinia sclerotiorum. For improving evidences about treatment’s mechanisms of action, a specially constructed apparatus was built for laboratory analysis on sclerotia. The central body of the apparatus contained a sample drawer and four pipes for dispensing air-steam mixture, and is filled with soil during tests. The drawer, containing three sample holders in which sclerotia are mixed with soil, is equipped with thermal sensors for monitoring temperatures. The four pipes are connected with an external tube that is feeded with a steam generator (0-60 g min-1), while an additional pipe allowed air to be pumped into the system. The apparatus was set for simulating the thermal effects due to a mobile steam generator, at mild, medium or drastic condition, with Tmax of 60, 70 or 100 °C respectively. These temperatures were maintained for 5 min, and followed by a progressive reduction. These treatments were repeated adding calcium oxide (CaO) for evaluating exothermic reactions effects on germination and leakage of S. minor and S. sclerotiorum sclerotia. The results confirmed positive effects of exothermic reactions in disease control. Steam treatments seems to be strongly effective on S. sclerotiorum only at drastic condition, while, adding CaO, the surviving is reduced drastically even with medium treatment (germination about 11%). Even S. minor, more sensitive to steam, was completely controlled with medium treatment using CaO, while mild condition causes a low germination (about 20%)
The continuum reaction-diffusion limit of a stochastic cellular growth model
No full textA competition-diffusion system, where populations of healthy and malignant cells compete and move on a neutral matrix, is analyzed. A coupled system of degenerate nonlinear parabolic equations is derived through a scaling procedure from the microscopic, Markovian dynamics. The healthy cells move much slower than the malignant ones, such that no diffusion for their density survives in the limit.The malignant cells may locally accumulate, while for the healthy ones an exclusion rule is considered. The asymptotic behavior of the system can be partially described through the analysis of the stationary wave which connects different equilibria
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