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Displaying 1 – 20 of 1581

A $B_{0}$ -algebra without generalized topological divisors of zero

Hugo Peimbert, Wiesław Żelazko (1985)

Studia Mathematica

A Banach principle for semifinite von Neumann algebras.

Chilin, Vladimir, Litvinov, Semyon (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

A Banach space determined by the Weil height

Daniel Allcock, Jeffrey D. Vaaler (2009)

Acta Arithmetica

A Banach space dichotomy theorem for quotients of subspaces

Valentin Ferenczi (2007)

Studia Mathematica

A Banach space X with a Schauder basis is defined to have the restricted quotient hereditarily indecomposable property if X/Y is hereditarily indecomposable for any infinite-codimensional subspace Y with a successive finite-dimensional decomposition on the basis of X. The following dichotomy theorem is proved: any infinite-dimensional Banach space contains a quotient of a subspace which either has an unconditional basis, or has the restricted quotient hereditarily indecomposable property.

A Banach space that is MLUR but not HR.

Mark A. Smith (1981)

Mathematische Annalen

A Banach space with a symmetric basis which contains no $ℓ_{p}$ or $c_{0}$ , and all its symmetric basic sequences are equivalent

Z. Altshuler (1977)

Compositio Mathematica

A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2

Peter G. Casazza, Niels J. Nielsen (2003)

Studia Mathematica

We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2.

A Bator's question on dual Banach spaces.

MANUEL LÓPEZ PELLICER (1999)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

A Best Covering Problem.

F.F. Knudsen, K. Seip, A.M. Ulanovskii (1995)

Mathematica Scandinavica

A bilinear version of Holsztyński's theorem on isometries of C(X)-spaces

Antonio Moreno Galindo, Ángel Rodríguez Palacios (2005)

Studia Mathematica

We prove that, for a compact metric space X not reduced to a point, the existence of a bilinear mapping ⋄: C(X) × C(X) → C(X) satisfying ||f⋄g|| = ||f|| ||g|| for all f,g ∈ C(X) is equivalent to the uncountability of X. This is derived from a bilinear version of Holsztyński's theorem [3] on isometries of C(X)-spaces, which is also proved in the paper.

A bipolar theorem for L $_{+}^{0} (Ω, ℱ, 𝐏)$

Werner Brannath, Walter Schachermayer (1999)

Séminaire de probabilités de Strasbourg

A Borel extension approach to weakly compact operators on $C_{0} (T)$

Thiruvaiyaru V. Panchapagesan (2002)

Czechoslovak Mathematical Journal

Let $X$ be a quasicomplete locally convex Hausdorff space. Let $T$ be a locally compact Hausdorff space and let $C_{0} (T) = {f T \to I$ , $f$ is continuous and vanishes at infinity $}$ be endowed with the supremum norm. Starting with the Borel extension theorem for $X$ -valued $σ$ -additive Baire measures on $T$ , an alternative proof is given to obtain all the characterizations given in [13] for a continuous linear map $u C_{0} (T) \to X$ to be weakly compact.

A bornological approach to rotundity and smoothness applied to approximation.

Read, John (1996)

Journal of Convex Analysis

A $C^{*}$ -algebra on Schur algebras.

Chaisuriya, Pachara (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

A $C^{*}$ -algebraic Schoenberg theorem

Ola Bratteli, Palle E. T. Jorgensen, Akitaka Kishimoto, Donald W. Robinson (1984)

Annales de l'institut Fourier

Let $𝔄$ be a $C^{*}$ -algebra, $G$ a compact abelian group, $τ$ an action of $G$ by $*$ -automorphisms of $𝔄, 𝔄^{τ}$ the fixed point algebra of $τ$ and $𝔄_{F}$ the dense sub-algebra of $G$ -finite elements in $𝔄$ . Further let $H$ be a linear operator from $𝔄_{F}$ into $𝔄$ which commutes with $τ$ and vanishes on $𝔄^{τ}$ . We prove that $H$ is a complete dissipation if and only if $H$ is closable and its closure generates a $C_{0}$ -semigroup of completely positive contractions. These complete dissipations are classified in terms of certain twisted negative definite...

A $C^{*}$ -dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking

Paula B. Cohen (1999)

Journal de théorie des nombres de Bordeaux

In this paper we extend to arbitrary number fields a construction of Bost-Connes of a $C^{*}$ -dynamical system with spontaneous symmetry breaking and partition function the Riemann zeta function.

A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces.

Petteri Harjulehto, Peter Hästö (2004)

Revista Matemática Complutense

We study the Poincaré inequality in Sobolev spaces with variable exponent. Under a rather mild and sharp condition on the exponent p we show that the inequality holds. This condition is satisfied e.g. if the exponent p is continuous in the closure of a convex domain. We also give an essentially sharp condition for the exponent p as to when there exists an imbedding from the Sobolev space to the space of bounded functions.

A Carlson type inequality with blocks and interpolation

Natan Kruglyak, Lech Maligranda, Lars Persson (1993)

Studia Mathematica

An inequality, which generalizes and unifies some recently proved Carlson type inequalities, is proved. The inequality contains a certain number of “blocks” and it is shown that these blocks are, in a sense, optimal and cannot be removed or essentially changed. The proof is based on a special equivalent representation of a concave function (see [6, pp. 320-325]). Our Carlson type inequality is used to characterize Peetre’s interpolation functor $⟨ ⟩_{φ}$ (see [26]) and its Gagliardo closure on couples of...

A certain subspace of characteristic zero of $(l^{1})$

D. Van Dulst (1974)

Compositio Mathematica

A chain rule formula for the composition of a vector-valued function by a piecewise smooth function

François Murat, Cristina Trombetti (2003)

Bollettino dell'Unione Matematica Italiana

We state and prove a chain rule formula for the composition $T (u)$ of a vector-valued function $u \in W^{1, r} (Ω; R^{M})$ by a globally Lipschitz-continuous, piecewise $C^{1}$ function $T$ . We also prove that the map $u \to T (u)$ is continuous from $W^{1, r} (Ω; R^{M})$ into $W^{1, r} (Ω)$ for the strong topologies of these spaces.

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