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BARRELLEDNESS OF SOME SPACES OF VECTOR MEASURES AND BOUNDED LINEAR OPERATORS
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In this paper we investigate the barrellednes of some spaces of X-valued measures, X being a barrelled normed space, and provide examples of non barrelled spaces of bounded linear operators from a Banach space X into a barrelled normed space Y , equipped with the uniform convergence topology.
Abstract
In this paper we investigate the barrellednes of some spaces of X-valued measures, X being a barrelled normed space, and provide examples of non barrelled spaces of bounded linear operators from a Banach space X into a barrelled normed space Y , equipped with the uniform convergence topology.
참고문헌 (17)
- J. Batt, "Summable sequences and topological properties of m0 (I)", Arch. Math. (Basel), 28(1), pp.86~90 (1977)
- J. C. D´ıaz, "A uniform boundedness theorem for L∞ (μ,X)", Arch. Math. (Basel), 60(1), pp.73~78 (1993)
- L. Drewnowski, "The space of Pettis integrable functions is barrelled", Proc. Amer. Math. Soc, 114(3), pp.687~694 (1992)
- L. Drewnowski, "On the barrelledness of space of bounded vector functions", Arch. Math, 63(5), pp.449~458 (1994)
- J. C. Ferrando, "On the barrelledness of the vector-valued bounded function space", J. Math. Anal. Appl, 184(3), pp.437~440 (1994)
- J. C. Ferrando, "On a problem of Horv´ath concerning barrelled spaces of vector valued continuous functions vanishing at infinity", Bull. Belg. Math. Soc. Simon Stevin, 11(1), pp.127~132 (2004)
- J. C. Ferrando, "Metrizable Barrelled Spaces" (1995), Longman
- F. J. Freniche, "Barrelledness of the space of vector valued and simple functions", Math. Ann, 267(4), pp.479~489 (1984)
- H. Jarchow, "Locally Convex Spaces" (1981), B. G. Teubner
- J. K¸akol, "Barrelled spaces with(out) separable quotients", Bull. Austral. Math. Soc, 90(2), pp.295~303 (2014)
- G. K¨othe, "Topological Vector Spaces I" (1983), Springer-Verlag
- J. Mendoza, "Barrelledness conditions on S (∑,E) and B (∑,E)", Math. Ann, 261(1), pp.11~22 (1982)
- J. Mendoza, "Necessary and sufficient conditions for C (X,E) to be barrelled or infrabarrelled", Simon Stevin, 57(1-2), pp.103~123 (1983)
- R. A. Ryan, "Introduction to Tensor Products of Banach Spaces, SMM" (2002), Springer
- S. A. Saxon, "Mackey hyperplanes enlargements for Tweddle’s space", Rev. R. Acad. Cienc. Exactas Fis. Ser. A Math. RACSAM, 108(1), pp.1035~1054 (2014)
- S. A. Saxon, "Weak barrelledness versus P-spaces, Descriptive topology and functional analysis", Springer Proc. Math. Stat, 80, pp.27~32 (2014), Springer
- J. Schmets, "An example of the barrelled space associated to C (X,E), Functional Analysis, Holomorphy and Approximation Theory", Lecture Notes in Math, 843, pp.562~571 (1981), Springer-Verlag
관련 논문AI추천
STRICT TOPOLOGIES AND OPERATORS ON SPACES OF VECTOR-VALUED CONTINUOUS FUNCTIONSMarian Nowak대한수학회 · 대한수학회지2015 · 제52권 제1호LOCALLY CONVEX VECTOR TOPOLOGIES ON B(X, Y )김주명, 최창선대한수학회 · 대한수학회지2008 · 제45권 제6호BOUNDED CONVERGENCE THEOREMSPiotr Niemiec대한수학회 · 대한수학회지2017 · 제54권 제1호Characterization of operators taking P-summable sequences into sequences in the range of a vector measure송희자영남수학회 · East Asian Mathematical Journal2008 · 제24권 제2호On the admissibility of the space L0(A,X) of vector-valued measurable functionsAlessandro Trombetta, Diana Caponetti, Giulio Trombetta, Grzegorz Lewicki대한수학회 · 대한수학회보2013 · 제50권 제6호On the Lebesgue space of vector measures이근영, 최창선대한수학회 · 대한수학회보2011 · 제48권 제4호
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