September 2012 - Banach - mathdept.okstate.edu

Abstract of a paper by Antonio Aviles, Grzegorz Plebanek, Jose Rodriguez
by alspach＠math.okstate.edu 04 Sep '12

04 Sep '12

This is an announcement for the paper "On Baire measurability in spaces of continuous functions" by Antonio Aviles, Grzegorz Plebanek, Jose Rodriguez. Abstract: Let C(K) be the Banach space of all continuous functions on a given compact space K. We investigate the w*-sequential closure in C(K)* of the set of all finitely supported probabilities on K. We discuss the coincidence of the Baire sigma-algebras on C(K) associated to the weak and pointwise convergence topologies. Archive classification: math.FA Submitted from: avileslo(a)um.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1208.2207 or http://arXiv.org/abs/1208.2207

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Abstract of a paper by A. B. Abubaker, Fernanda Botelho and James Jamison
by alspach＠math.okstate.edu 04 Sep '12

04 Sep '12

This is an announcement for the paper "Representation of generalized bi-circular projections on Banach spaces" by A. B. Abubaker, Fernanda Botelho and James Jamison. Abstract: We prove several results concerning the representation of projections on arbitrary Banach spaces. We also give illustrative examples including an example of a generalized bi-circular projection which can not be written as the average of the identity with an isometric reflection. We also characterize generalized bi-circular projections on $C_0(\Om,X)$, with $\Om$ a locally compact Hausdorff space (not necessarily connected) and $X$ a Banach space with trivial centralizer. Archive classification: math.FA Mathematics Subject Classification: 47B38, 47B15, 46B99, 47A65 Submitted from: abdullah(a)iitk.ac.in The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1208.2012 or http://arXiv.org/abs/1208.2012

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Abstract of a paper by Ivan Feshchenko
by alspach＠math.okstate.edu 04 Sep '12

04 Sep '12

This is an announcement for the paper "On the divergence of series of the form sum_{k=1}^infty||A_k x||^p" by Ivan Feshchenko. Abstract: Let {A} be a system of operators. With any element x we associate the set of elements {Ax}. We study conditions under which there exists an element x such that the sum of p-th powers of norms of the elements {Ax} is equal to infinity. Archive classification: math.FA Mathematics Subject Classification: 40H05, 46B20, 47A05 Remarks: 9 pages, submitted to Studia Mathematica Submitted from: ivanmath007(a)gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1208.1863 or http://arXiv.org/abs/1208.1863

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