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Displaying 41 – 60 of 220

Weak compactness in the space of operator valued measures $M_{b} a (Σ, (X, Y))$ and its applications

N.U. Ahmed (2011)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this note we present necessary and sufficient conditions characterizing conditionally weakly compact sets in the space of (bounded linear) operator valued measures $M_{b a} (Σ, (X, Y))$ . This generalizes a recent result of the author characterizing conditionally weakly compact subsets of the space of nuclear operator valued measures $M_{b a} (Σ, ₁ (X, Y))$ . This result has interesting applications in optimization and control theory as illustrated by several examples.

Weak Compactness of Multiplication Operators on Spaces of Bounded Linear Operators.

Eero Saksman, Hans-Olav Tylli (1992)

Mathematica Scandinavica

Weak compactness of unconditionally convergent operators on $C_{0} (T)$

Thiruvaiyaru V. Panchapagesan (2002)

Mathematica Slovaca

Weak Compactness, Pseudo-reflexivity and Quasi-reflexivity.

I. SINGER (1964)

Mathematische Annalen

Weak completeness in spaces of operators

Baker, J.M. (1974)

Portugaliae mathematica

Weak conditions for interpolation in holomorphic spaces.

Alexander P Schuster, Kristian Seip (2000)

Publicacions Matemàtiques

An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in Lp spaces of holomorphic functions of Paley-Wiener-type when 0 < p ≤ 1, of Fock-type when 0 < p ≤ 2, and of Bergman-type when 0 < p < ∞. Moreover, if a uniformly discrete sequence has a certain uniform non-uniqueness property with respect to any such Lp space (0 < p < ∞), then it is an interpolation...

Weak continuity of holomorphic automorphisms in JB-triples.

Wilhelm Kaup, José M. Isidro (1992)

Mathematische Zeitschrift

Weak $^{*}$ -continuous derivations in dual Banach algebras

M. Eshaghi-Gordji, A. Ebadian, F. Habibian, B. Hayati (2012)

Archivum Mathematicum

Let $𝒜$ be a dual Banach algebra. We investigate the first weak $^{*}$ -continuous cohomology group of $𝒜$ with coefficients in $𝒜$ . Hence, we obtain conditions on $𝒜$ for which $H_{w^{*}}^{1} (𝒜, 𝒜) = {0} .$

Weak Convergence and Weak Convergence

Keiko Narita, Yasunari Shidama, Noboru Endou (2015)

Formalized Mathematics

In this article, we deal with weak convergence on sequences in real normed spaces, and weak* convergence on sequences in dual spaces of real normed spaces. In the first section, we proved some topological properties of dual spaces of real normed spaces. We used these theorems for proofs of Section 3. In Section 2, we defined weak convergence and weak* convergence, and proved some properties. By RNS_Real Mizar functor, real normed spaces as real number spaces already defined in the article [18],...

Weak convergence and weighted averages for groups of operators

Anzelm Iwanik (1979)

Colloquium Mathematicum

Weak convergence in infinite dimensional spaces

Jan Franců (1994)

Acta Mathematica et Informatica Universitatis Ostraviensis

Weak Convergence of Measures.

Helmut H. SCHAEFER (1971)

Mathematische Annalen

Weak convergence of summation processes in Besov spaces

Bruno Morel (2004)

Studia Mathematica

We prove invariance principles for partial sum processes in Besov spaces. This functional framework allows us to give a unified treatment of the step process and the smoothed process in the same parametric scale of function spaces. Our functional central limit theorems in Besov spaces hold for i.i.d. sequences and also for a large class of weakly dependent sequences.

Weak Convergence of Vector Measures on F-Space.

Tsang-hai Kuo (1975)

Mathematische Zeitschrift

Weak countable compactness implies quasi-weak drop property

J. H. Qiu (2004)

Studia Mathematica

Every weakly countably compact closed convex set in a locally convex space has the quasi-weak drop property.

Weak Distances between Random Subproportional Quotients of $ℓ ₁^{m}$

Piotr Mankiewicz (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

Lower estimates for weak distances between finite-dimensional Banach spaces of the same dimension are investigated. It is proved that the weak distance between a random pair of n-dimensional quotients of $ℓ ₁^{n ²}$ is greater than or equal to c√(n/log³n).

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