Results 21 to 30 of about 1,163,773 (213)
An ordering for the Banach spaces [PDF]
Pacific Journal of Mathematics, 1983 An ''ordering'' on the class of all Banach spaces is defined as follows: If X and Y are Banach spaces, then we say \(X\prec Y\) if \(X=\cap T^{**- 1}[Y],\) where the intersection is over all bounded linear operators T:\(X\to Y\). This holds if there is a Tauberian operator from X to Y, but also in other cases. Certain special cases are characterized: \(
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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
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Skewness in Banach spaces [PDF]
Transactions of the American Mathematical Society, 1983 Let E E be a Banach space. One often wants to measure how far
Fitzpatrick, Simon, Reznick, Bruce
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Ornstein-Uhlenbeck processes in Banach spaces and their spectral representations. [PDF]
, 2002 For Q the variance of some centred Gaussian random vector in a separable Banach space it is shown that, necessarily, Q factors through $\ell^2$ as a product of 2-summing operators.
James S. Groves, Groves, James S.
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Moreau’s decomposition in Banach spaces [PDF]
Mathematical Programming, 2013 Moreau's decomposition is a powerful nonlinear hilbertian analysis tool that has been used in various areas of optimization and applied mathematics. In this paper, it is extended to reflexive Banach spaces and in the context of generalized proximity measures. This extension unifies and significantly improves upon existing results.
Patrick L. Combettes, Noli N. Reyes
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Convex Optimization on Banach Spaces [PDF]
Foundations of Computational Mathematics, 2015 Greedy algorithms which use only function evaluations are applied to convex optimization in a general Banach space $X$. Along with algorithms that use exact evaluations, algorithms with approximate evaluations are treated. A priori upper bounds for the convergence rate of the proposed algorithms are given.
Ronald A. DeVore, Vladimir N. Temlyakov
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Advances in Mathematics, 2005 We show that any Banach space contains a continuum of non isomorphic subspaces or a minimal subspace. We define an ergodic Banach space $X$ as a space such that $E_0$ Borel reduces to isomorphism on the set of subspaces of $X$, and show that every Banach space is either ergodic or contains a subspace with an unconditional basis $ which is ...
Ferenczi, Valentin, Rosendal, Christian
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Separability of Topological Groups: A Survey with Open Problems
Axioms, 2018 Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces ...
Arkady G. Leiderman, Sidney A. Morris
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Sesquilinear quantum stochastic analysis in Banach space [PDF]
, 2014 A theory of quantum stochastic processes in Banach space is initiated. The processes considered here consist of Banach space valued sesquilinear maps.
Lindsay, Martin +2 more
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Operations in Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1942 Not ...
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