Results 21 to 30 of about 375 (53)
A continuum of totally incomparable hereditarily indecomposable Banach spaces [PDF]
A family is constructed of cardinality equal to the continuum, whose members are totally incomparable, reflexive, hereditarily indecomposable Banach spaces.
arxiv
Strictly singular, non-compact operators exist on the space of Gowers and Maurey [PDF]
We construct a strictly singular non-compact operator on Gowers' and Maurey's space $GM$.
arxiv
Generalized ulam-hyers stability of C*-Ternary algebra n-Homomorphisms for a functional equation
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
Extensions by spaces of continuous functions [PDF]
We characterize the Banach spaces X such that Ext(X, C(K))=0 for every compact space.
arxiv
Embedding l∞ into the Space of Bounded Operators on Certain Banach Spaces
Sufficient conditions are given on a Banach space X which ensure that embeds in L(X), the space of all bounded linear operators on X. A basic sequence en is said to be quasisubsymmetric if for any two increasing sequences (kn) and (ln) of positive ...
G. Androulakis+3 more
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Operators on (C[0,1]) preserving copies of asymptotic (\ell_1) spaces [PDF]
It is shown that every operator on (C[0,1]) which preserves a copy of an asymptotic (\ell_1) space, also preserves a copy of (C[0,1]).
arxiv
In this paper, we prove the Hyers-Ulam-Rassias stability of homomorphisms in quasiBanach algebras associated to the Pexiderized Jensen functional equation. This is applied to investigate homomorphisms between quasi-Banach algebras.
A. Najati
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A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space [PDF]
A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space is constructed. The existence of such a space answers a question of B. Maurey and verifies a conjecture of W.T. Gowers.
arxiv
On the von Neumann-Jordan constant for Banach spaces
Let CNJ(E) be the von Neumann-Jordan constant for a Banach space E. It is known that 1 < CNJ(E) < 2 for any Banach space E; and E is a Hilbert space if and only if CNJ(E) = 1.
Mikio Kato, Y. Takahashi
semanticscholar +1 more source
On Banach Spaces containing $l_p$ or $c_0$ [PDF]
We use the Gowers block Ramsey theorem to characterize Banach spaces containing isomorphs of $\ell_p$ (for some $1 \leq p < \infty$) or $c_0$.
arxiv