Results 21 to 30 of about 4,708,050 (255)
Journal of Mathematical Analysis and Applications, 2016 We study superprojective Banach spaces. We show that they cannot contain copies of ?1, which restricts the search for non-reflexive examples of these spaces. We also show that the class of superprojective spaces is stable under finite products, certain unconditional sums, certain tensor products, and other operations, providing new examples.
González Ortiz, Manuel +1 more
openaire +3 more sources
On classes of Banach spaces admitting "small" universal spaces [PDF]
, 2008 We characterize those classes $\ccc$ of separable Banach spaces admitting a separable universal space $Y$ (that is, a space $Y$ containing, up to isomorphism, all members of $\ccc$) which is not universal for all separable Banach spaces.
Dodos, Pandelis
core +3 more sources
On the stability of the linear mapping in Banach spaces
, 1978 Let E1, E2 be two Banach spaces, and let f: E1 -* E2 be a mapping, that is "approximately linear". S. M. Ulam posed the problem: "Give conditions in order for a linear mapping near an approximately linear mapping to exist".
T. Rassias
semanticscholar +1 more source
Multipliers of Banach valued weighted function spaces
International Journal of Mathematics and Mathematical Sciences, 2000 We generalize Banach valued spaces to Banach valued weighted function spaces and study the multipliers space of these spaces. We also show the relationship between multipliers and tensor product of Banach valued weighted function spaces.
Serap Öztop
doaj +1 more source
Slicely Countably Determined Banach spaces [PDF]
, 2009 We introduce the class of slicely countably determined Banach spaces which contains in particular all spaces with the RNP and all spaces without copies of $\ell_1$. We present many examples and several properties of this class.
Aviles, Antonio +4 more
core +4 more sources
International Journal of Mathematics and Mathematical Sciences, 1991 In recent publications the concepts of fast completeness and local barreledness have been shown to be related to the property of all weak‐* bounded subsets of the dual (of a locally convex space) being strongly bounded. In this paper we clarify those relationships, as well as giving several different characterizations of this property.
Jing Hui Qiu, Kelly McKennon
openaire +2 more sources
Subprojective Banach spaces [PDF]
Journal of Mathematical Analysis and Applications, 2015 A Banach space $X$ is called subprojective if any of its infinite dimensional subspaces $Y$ contains a further infinite dimensional subspace complemented in $X$. This paper is devoted to systematic study of subprojectivity. We examine the stability of subprojectivity of Banach spaces under various operations, such us direct or twisted sums, tensor ...
Eugeniu Spinu, Timur Oikhberg
openaire +2 more sources
Some Banach spaces added by a Cohen real [PDF]
, 2014 We study certain Banach spaces that are added in the extension by one Cohen real. Specifically, we show that adding just one Cohen real to any model adds a Banach space of density $\aleph_1$ which does not embed into any such space in the ground model ...
Bell +11 more
core +3 more sources
Multismoothness in Banach Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 In this paper, motivated by the results published by R. Khalil and A. Saleh in 2005, we study the notion ofk-smooth points and the notion ofk-smoothness, which are dual to the notion ofk-rotundity. Generalizing these notions and combining smoothness with the recently introduced notion of unitary, we study classes of Banach spaces for which the vector ...
T. S. S. R. K. Rao, Bor-Luh Lin
openaire +2 more sources
Composition Operators on Some Banach Spaces of Harmonic Mappings
Journal of Function Spaces, 2020 We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space ...
Munirah Aljuaid, Flavia Colonna
doaj +1 more source