Results 21 to 30 of about 377 (54)

Weakly Compact Generating and Shrinking Markusevic Bases [PDF]

open access: yes, 2006
2000 Mathematics Subject Classification: 46B30, 46B03.It is shown that most of the well known classes of nonseparable Banach spaces related to the weakly compact generating can be characterized by elementary properties of the closure of the coefficient ...
Fabian, M.   +3 more
core  

Purely non-atomic weak L^p spaces

open access: yes, 1996
Let $\msp$ be a purely non-atomic measure space, and let $1 < p < \infty$. If $\weakLp\msp$ is isomorphic, as a Banach space, to $\weakLp\mspp$ for some purely atomic measure space $\mspp$, then there is a measurable partition $\Omega = \Omega_1\cup ...
Leung, Denny H.
core   +2 more sources

A new isomorphic (\ell_1) predual not isomorphic to a complemented subspace of a (C(K)) space

open access: yes, 2012
An isomorphic (\ell_1)-predual space (X) is constructed such that neither (X) is isomorphic to a subspace of (c_0), nor (C(\omega^\omega)) is isomorphic to a subspace of (X).
Gasparis, Ioannis
core   +1 more source

Geometrical characterization of semilinear isomorphisms of vector spaces and semilinear homeomorphisms of normed spaces [PDF]

open access: yes, 2013
Let $V$ and $V'$ be vector spaces over division rings (possible infinite-dimensional) and let ${\mathcal P}(V)$ and ${\mathcal P}(V')$ be the associated projective spaces.
Pankov, Mark
core  

Some geometric properties of Read's space

open access: yes, 2017
We study geometric properties of the Banach space $\mathcal{R}$ constructed recently by C.~Read (arXiv 1307.7958) which does not contain proximinal subspaces of finite codimension greater than or equal to two.
Kadets, Vladimir   +2 more
core   +1 more source

A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2 [PDF]

open access: yes, 2001
We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2. Introduction Weak type 2 and weak cotype 2 spaces were originally introduced and investigated by V.D. Milman and G. Pisier in [10] and weak Hilbert spaces by
P. Casazza, N. J. Nielsen
semanticscholar   +1 more source

Approximation of Lipschitz Mappings [PDF]

open access: yes, 2003
2000 Mathematics Subject Classification: 46B03We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping.Supported by grants GAUK 277/2001, GA CR 201 ...
Johanis, Michal
core  

A Characterization of Subspaces and Quotients of Reflexive Banach Spaces with Unconditional Bases

open access: yes, 2007
We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. Then we prove that a separable reflexive Banach space with the unconditional tree property embeds into ...
Johnson, W. B., Zheng, Bentuo
core   +2 more sources

Generalized ulam-hyers stability of C*-Ternary algebra n-Homomorphisms for a functional equation

open access: yes, 2011
In this article, we investigate the Ulam-Hyers stability of C*-ternary algebra n-homomorphisms for the functional equation: in C*-ternary algebras.2000 Mathematics Subject Classification: Primary 39B82; 46B03; 47Jxx.
W. Park, J. Bae
semanticscholar   +1 more source

An extension of James's compactness theorem [PDF]

open access: yes, 2014
Let X and Y be Banach spaces and F a subset of B_{Y^*}. Endow Y with the topology \tau_F of pointwise convergence on F. Let T: X^* \to Y be a bounded linear operator which is (w^*, \tau_F) continuous.
Gasparis, Ioannis
core  

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