55 research outputs found

    Linear dynamics induced by odometers

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    Weighted shifts are an important concrete class of operators in linear dynamics. In particular, they are an essential tool in distinguishing variety dynamical properties. Recently, a systematic study of dynamical properties of composition operators on LpL^p spaces has been initiated. This class of operators includes weighted shifts and also allows flexibility in construction of other concrete examples. In this article, we study one such concrete class of operators, namely composition operators induced by measures on odometers. In particular, we study measures on odometers which induce mixing and transitive linear operators on LpL^p spaces.Comment: 15 pages, keywords: linear dynamics, composition operators, topological mixing, topological transitivity, odometer

    Moravian heresy : wherein the principal errors of that doctrine, as taught throughout several parts of Europe and America, by Count Zinzendorf, Mr. Cennick, and other Moravian teachers, are fully set forth, proved, and refuted : also a short accoun

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    Bookplate: Library of the Congregation of U.B. of the Borough of Bethlehem and its vicinity. [CongLib 212].; Label of Wm. G. Malin. [Malin 686].; ESTC,; ESTC

    The aristocrat, a novel : In two volumes. ... By the author of The democrat.

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    Author of The democrat = Henry James Pye.; Label of the Library of the Congregation of U.B. of the Borough of Bethlehem and its vicinity. No. 936.; Label of the Washington Circulating Library, No. 1073.; Archives has vol. 2 only.; ESTC

    A compleat collection of devotions : both publick and private : taken from the apostolical constitutions, the ancient liturgies, and the Common prayer book of the Church of England ... [etc.].

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    Signatures: [pi]¹, A?, A-Y?, Z?, a-h?, i? (final verso blank).; Attributed to Thomas Deacon.; Label: Library of the Congregation of U.B. of the Borough of Bethlehem and its vicinity, no. 877.; Signature; B. Ingham.; An appendix in justification of the foregoing undertaking ... has separate title and pagings.; BM,; ESTC

    A generalized first-return integration process

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    We extend the first-return integration process, introduced in [5] by U.B. Darji and M.J. Evans, and prove that each Lebesgue-improper integrable function f : [a, b] --> R is first-return integrable in this generalized sense to (Li)int_a^b f(t) dt

    Coanalytic Sets and Symmetric Behavior in Functions

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    AbstractWe show that every 0-dimensional coanalytic set is homeomorphic to the set of points of symmetric behavior of some Baire 2 function

    A funeral sermon, on the downfal of Buonaparte\u27s dynasty : a discourse preached on Thursday, July 7, 1814, the day appointed for the general thanksgiving.

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    Label of the Library of the Congregation of U.B. of the Borough of Bethlehem and its vicinity. No. 164

    Classification problems in continuum theory

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    We study several natural classes and relations occurring in continuum theory from the viewpoint of descriptive set theory and infinite combinatorics. We provide useful characterizations for the relation of likeness among dendrites and show that it is a bqo with countably many equivalence classes. For dendrites with finitely many branch points the homeomorphism and quasi-homeomorphism classes coincide, and the minimal quasi-homeomorphism classes among dendrites with infinitely many branch points are identified. In contrast, we prove that the homeomorphism relation between dendrites is SS_{\infty }-universal. It is shown that the classes of trees and graphs are both D2(Σ30)D_2( \boldsymbol \Sigma^0_3)-complete, the class of dendrites is Π30 \boldsymbol \Pi^0_3-complete, and the class of all continua homeomorphic to a graph or dendrite with finitely many branch points is Π30 \boldsymbol \Pi^0_3-complete. We also show that if GG is a nondegenerate finitely triangulable continuum, then the class of GG-like continua is \bolbsymbol \Pi^0_2-complete
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