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Displaying 241 – 260 of 304

Normes de Sobolev et convoluteurs bornés sur $L^{2} (G)$

P. Jolissaint, A. Valette (1991)

Annales de l'institut Fourier

Un groupe localement compact $G$ muni d’une fonction-longueur $L$ a la propriété $(D R)$ par rapport à $L$ si toute fonction à décroissance rapide sur $G$ définit un convoluteur borné sur $L^{2} (G)$ . Nous donnons une condition suffisante assez générale pour que le couple $(G, L)$ ait la propriété $(D R)$ . Pour un tel couple, nous caractérisons les fonctions de type positif sur $G$ faiblement associées à la représentation régulière gauche et, dans le cas discret, nous considérons les propriétés d’approximation de l’algèbre de Fourier...

Norming points and unique minimality of orthogonal projections.

Shekhtman, Boris, Skrzypek, LesŁaw (2006)

Abstract and Applied Analysis

Norms for copulas.

Darsow, William F., Olsen, Elwood T. (1995)

International Journal of Mathematics and Mathematical Sciences

Norms in product spaces which preserve approximation properties.

Carlos Benítez, Manuel Fernández (1986)

Extracta Mathematicae

Norms of composition operators on the Hardy space.

Appel, Matthew J., Bourdon, Paul S., Thrall, John J. (1996)

Experimental Mathematics

Norms of hypercyclic sequences.

Bernal-González, Luis (2004)

Mathematica Pannonica

Norms of projections on L... [ - 1, 1] and C [ -1, 1].

William A. Light (1978)

Journal für die reine und angewandte Mathematik

Norms on super-reflexive Banach spaces

Finet, Catherine (1985)

Proceedings of the 13th Winter School on Abstract Analysis

Norms that generate the same Wijsman topology on convex sets.

Poggi-Corradini, Pietro (1995)

Journal of Convex Analysis

Norms that locally depend on countably many linear functionals.

M. Fabian, V. Zizler (2001)

Extracta Mathematicae

Nota sobre el espacio de las funciones continuas en el producto cartesiano de dos espacios compactos.

Anibal Moltó (1982)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Nota sobre espacios B-normados generalizados.

Rosa Fernández (1988)

Stochastica

Some basic properties of generalized normed spaces are investigated.

Note on a Banach space having equal linear dimension with is second dual.

Anatolij Plichko, M. Wójtowicz (2003)

Extracta Mathematicae

Note on a construction of unbounded measures on a nonseparable Hilbert space quantum logic

Anatolij Dvurečenskij (1988)

Annales de l'I.H.P. Physique théorique

Note on a general dilation theorem

F. H. Szafraniec (1979)

Annales Polonici Mathematici

Note on a theorem of S. Mercourakis about weakly $K$ -analytic Banach spaces

Roman Pol (1988)

Commentationes Mathematicae Universitatis Carolinae

Note on bi-Lipschitz embeddings into normed spaces

Jiří Matoušek (1992)

Commentationes Mathematicae Universitatis Carolinae

Let $(X, d)$ , $(Y, ρ)$ be metric spaces and $f : X \to Y$ an injective mapping. We put ${∥ f ∥}_{Lip} = sup {ρ (f (x), f (y)) / d (x, y); x, y \in X, x \neq y}$ , and $dist (f) = {∥ f ∥}_{Lip} . {∥ f^{- 1} ∥}_{Lip}$ (the distortion of the mapping $f$ ). We investigate the minimum dimension $N$ such that every $n$ -point metric space can be embedded into the space $ℓ_{\infty}^{N}$ with a prescribed distortion $D$ . We obtain that this is possible for $N \geq C {(log n)}^{2} n^{3 / D}$ , where $C$ is a suitable absolute constant. This improves a result of Johnson, Lindenstrauss and Schechtman [JLS87] (with a simpler proof). Related results for embeddability into $ℓ_{p}^{N}$ are obtained by a similar method.

Note on distortion and Bourgain ℓ₁-index

Anna Maria Pelczar (2009)

Studia Mathematica

Relations between different notions measuring proximity to ℓ₁ and distortability of a Banach space are studied. The main result states that a Banach space all of whose subspaces have Bourgain ℓ₁-index greater than $ω^{α}$ , α < ω₁, contains either an arbitrarily distortable subspace or an $ℓ ₁^{α}$ -asymptotic subspace.

Note on extreme points in Marcinkiewicz function spaces.

Kamińska, Anna, Parrish, Anca M. (2010)

Banach Journal of Mathematical Analysis [electronic only]

Note on Köthe Spaces.

Gerald SILVERMAN (1971)

Mathematische Annalen

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