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La structure des sous-espaces de treillis [Book]

José L. Marcolino Nhani (2001)

L’analogue dans $𝒞^{P}$ des théorèmes de convexité de M. Riesz et G. O. Thorin

Pham The Lai (1972)

Séminaire Jean Leray

Les applications $p$ -sommantes

L. Schwartz (1972/1973)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Les espaces de type et cotype 2 d'après Bernard Maurey, et leurs applications

Laurent Schwartz (1974)

Annales de l'institut Fourier

On définit et étudie les espaces de Banach de type et de cotype $p$ , $0 < p \leq 2$ . Cela permet de dire que, dès que certaines applications sont $q$ -sommantes, elles sont aussi $r$ -sommantes pour $r \leq q$ .

Lineability of functionals and operators

Francisco Javier García-Pacheco, Daniele Puglisi (2010)

Studia Mathematica

This article is divided into two parts. The first one is on the linear structure of the set of norm-attaining functionals on a Banach space. We prove that every Banach space that admits an infinite-dimensional separable quotient can be equivalently renormed so that the set of norm-attaining functionals contains an infinite-dimensional vector subspace. This partially solves a question proposed by Aron and Gurariy. The second part is on the linear structure of dominated operators. We show that the...

Linear operators

Zapiski naucnych seminarov Leningradskogo

Linear Operators and Vector Measures. II.

James K. Brooks, Paul W. Lewis (1975)

Mathematische Zeitschrift

Little G. T. for lp-lattice summing operators

Mezrag, Lahcène (2006)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 46B28, 47D15.In this paper we introduce and study the lp-lattice summing operators in the category of operator spaces which are the analogous of p-lattice summing operators in the commutative case. We study some interesting characterizations of this type of operators which generalize the results of Nielsen and Szulga and we show that Λ l∞( B(H) ,OH) ≠ Λ l2( B( H) ,OH), in opposition to the commutative case.

Local entropy moduli and eigenvalues of operators in Banach spaces.

Bernd Carl, Thomas Kühn (1985)

Revista Matemática Iberoamericana

In the paper local entropy moduli of operators between Banach spaces are introduced. They constitue a generalization of entropy numbers and moduli, and localize these notions in an appropriate way. Many results regarding entropy numbers and moduli can be carried over to local entropy moduli. We investigate relations between local entropy moduli and s-numbers, spectral properties, eigenvalues, absolutely summing operators. As applications, local entropy moduli of identical and diagonal operators...

Local Reflexivity and (p, g)-Summing Maps.

S. Simons (1972)

Mathematische Annalen

Local spectrum and Kaplansky's theorem on algebraic operators

Driss Drissi (1998)

Colloquium Mathematicae

Using elementary arguments we improve former results of P. Vrbová concerning local spectrum. As a consequence, we obtain a new proof of Kaplansky’s theorem on algebraic operators on a Banach space.

Local Toeplitz operators based on wavelets: phase space patterns for rough wavelets

Krzysztof Nowak (1996)

Studia Mathematica

We consider two standard group representations: one acting on functions by translations and dilations, the other by translations and modulations, and we study local Toeplitz operators based on them. Local Toeplitz operators are the averages of projection-valued functions $g \mapsto P_{g, ϕ}$ , where for a fixed function ϕ, $P_{g, ϕ}$ denotes the one-dimensional orthogonal projection on the function $U_{g} ϕ$ , U is a group representation and g is an element of the group. They are defined as integrals $ʃ_{W} P_{g, ϕ} d g$ , where W is an open, relatively...

Log-majorizations and norm inequalities for exponential operators

Fumio Hiai (1997)

Banach Center Publications

Concise but self-contained reviews are given on theories of majorization and symmetrically normed ideals, including the proofs of the Lidskii-Wielandt and the Gelfand-Naimark theorems. Based on these reviews, we discuss logarithmic majorizations and norm inequalities of Golden-Thompson type and its complementary type for exponential operators on a Hilbert space. Furthermore, we obtain norm convergences for the exponential product formula as well as for that involving operator means.

Currently displaying 1 – 16 of 16