Oxford Index Search Results

You are looking at 81-100 of 120 items for:

Banach space x clear all

REAL BANACH ALGEBRAS AS 𝒞 (𝒦) ALGEBRAS

F. Albiac and E. Briem.

in The Quarterly Journal of Mathematics

September 2012; p ublished online April 2011 .

Journal Article. Subjects: Pure Mathematics. 0 words.

The classical theorem of Gelfand provides a representation of a commutative complex unital Banach algebra as a subalgebra of 𝒞 (𝒦) of continuous complex-valued functions...

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On Bernstein Type and Maximal Inequalities for Dependent Banach-Valued Random Vectors and Applications

Noureddine Rhomari.

in The Oxford Handbook of Functional Data Analysis

November 2010; p ublished online August 2018 .

Article. Subjects: Mathematics. 22490 words.

This article discusses some results on Bernstein type and maximal inequalities for partial sums of dependent random vectors taking their values in separable Hilbert or Banach spaces of...

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The Structure of Triple Derivations on Semisimple Banach *-Algebras

Cheng-Kai Liu.

in The Quarterly Journal of Mathematics

September 2017; p ublished online February 2017 .

Journal Article. Subjects: Pure Mathematics. 7725 words.

Abstract

Triple derivations on C *-algebras and JB*-triples had been extensively studied in the literature. In this paper, we characterize the...

Stability of abstract non-linear non-autonomous difference-delay equations

Rigoberto Medina.

in IMA Journal of Mathematical Control and Information

June 2009; p ublished online June 2009 .

Journal Article. Subjects: Mathematics. 0 words.

We consider a class of functional–difference equations in a Banach space with causal operators, which have the local Lipschitz property. Sufficient conditions for the boundedness of...

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From linear to nonlinear equations, fundamental results

Klaus Böhmer.

in Numerical Methods for Nonlinear Elliptic Differential Equations

October 2010; p ublished online January 2011 .

Chapter. Subjects: Mathematical and Statistical Physics. 8208 words.

Chapter 1 demonstrates, for the simple mechanical example of a bent rod, the change in character from linear to nonlinear regimes. This is followed by several examples for different types...

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BOUNDARIES FOR STRONG SCHUR SPACES

S. Dutta and V. P. Fonf.

in The Quarterly Journal of Mathematics

September 2014; p ublished online August 2013 .

Journal Article. Subjects: Pure Mathematics. 0 words.

It is known that if a Banach space X does not contain an isomorphic copy of c 0, then for any boundary B and representation B = ∪ n=1 Bnull...

Geometric interpolation of entropy numbers

Radosław Szwedek.

in The Quarterly Journal of Mathematics

June 2018; p ublished online September 2017 .

Journal Article. Subjects: Pure Mathematics. 7661 words.

Abstract

We investigate whether the entropy numbers of an operator behave well under the complex interpolation between Hilbert spaces. We study geometric...

Disentangling: Definitions, Properties and Elementary Examples

Gerald W. Johnson, Michel L. Lapidus and Lance Nielsen.

in Feynman's Operational Calculus and Beyond

August 2015; p ublished online September 2015 .

Chapter. Subjects: Mathematical and Statistical Physics; Mathematics. 20736 words.

A rigorous approach to Feynman’s operational calculus, the formation of functions of several noncommuting operators, is introduced, using Feynman’s heuristic “rules” as a guide. Two...

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Fr ´Echet Differentiability of Vector-Valued Functions

Joram Lindenstrauss, David Preiss and Tiˇser Jaroslav.

in Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

February 2012; p ublished online October 2017 .

Chapter. Subjects: Mathematics. 15173 words.

This chapter shows that if a Banach space with a Fréchet smooth norm is asymptotically smooth with modulus o(tⁿ logⁿ⁻¹(1/t)) then every Lipschitz map of X to a space of dimension not...

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A modification of the Chebyshev method

JOSÉ A. EZQUERRO.

in IMA Journal of Numerical Analysis

October 1997; p ublished online October 1997 .

Journal Article. Subjects: Mathematics. 0 words.

In this paper we use a one-parametric family of second-order iterations to solve a nonlinear operator equation in a Banach space. Two different analyses of convergence are shown. First,...

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When absolute continuity on C‐algebras is automatically uniform

J. K. Brooks, Kazuyuki SAITÔ and J. D. Maitland Wright.

in The Quarterly Journal of Mathematics

March 2004; p ublished online March 2004 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Let A be a C*‐algebra and let K be a relatively weakly compact subset of the dual of A. Let ψbe a positive linear functional on A such that, for each φin K, φis strongly absolutely...

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NON-COMMUTATIVE LOCALLY CONVEX MEASURES

José Bonet and J. D. Maitland Wright.

in The Quarterly Journal of Mathematics

March 2011; p ublished online June 2009 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We study weakly compact operators from a C*-algebra with values in a complete locally convex space. They constitute a natural non-commutative generalization of finitely additive vector...

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Fr ´Echet Differentiability Except For Γ‎-Null Sets

Joram Lindenstrauss, David Preiss and Tiˇser Jaroslav.

in Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

February 2012; p ublished online October 2017 .

Chapter. Subjects: Mathematics. 7151 words.

This chapter gives an account of the known genuinely infinite dimensional results proving Fréchet differentiability almost everywhere except for Γ‎-null sets. Γ‎-null sets provide the only...

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Ε‎-Fr ´Echet Differentiability

Joram Lindenstrauss, David Preiss and Tiˇser Jaroslav.

in Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

February 2012; p ublished online October 2017 .

Chapter. Subjects: Mathematics. 9636 words.

This chapter treats results on ε‎-Fréchet differentiability of Lipschitz functions in asymptotically smooth spaces. These results are highly exceptional in the sense that they prove almost...

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BAIRE CLASSES OF NON-SEPARABLE L 1-PREDUALS

Pavel Ludvík and Jiří Spurný.

in The Quarterly Journal of Mathematics

March 2015; p ublished online June 2014 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Let X be an L 1-predual, non-separable in general. We show that the intrinsic Baire classes of X can be identified with the spaces of odd Baire functions on the set ext Bnull...

Disentangling via Tensor Products and Ordered Supports

Gerald W. Johnson, Michel L. Lapidus and Lance Nielsen.

in Feynman's Operational Calculus and Beyond

August 2015; p ublished online September 2015 .

Chapter. Subjects: Mathematical and Statistical Physics; Mathematics. 20732 words.

More involved types of disentanglings are considered in this chapter. We discuss the situation where the Banach space X can be written as a direct sum X=Y⊕Z, for some Banach spaces Y and Z,...

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A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature

Dongwoo Sheen, Ian H. Sloan and Vidar Thomée.

in IMA Journal of Numerical Analysis

April 2003; p ublished online April 2003 .

Journal Article. Subjects: Mathematics. 0 words.

We consider the discretization in time of an inhomogeneous parabolic equation in a Banach space setting, using a representation of the solution as an integral along a smooth curve in the...

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LINEAR CAUCHY PROBLEM WITH VARIABLE COEFFICIENTS

Sylvie Benzoni-Gavage and Denis Serre.

in Multi-dimensional hyperbolic partial differential equations

November 2006; p ublished online September 2007 .

Chapter. Subjects: Applied Mathematics. 17084 words.

This chapter emphasizes energy estimates, that is, a priori estimates without loss of derivatives in Sobolev spaces. The appropriate tools are functional symmetrizers, obtained merely as...

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Basic Principles of Linear Analysis

Fon-Che Liu.

in Real Analysis

October 2016; p ublished online January 2017 .

Chapter. Subjects: Mathematics. 30959 words.

This chapter on the basic principles of linear analysis presents elements of functional analysis that are frequently used in setting up spaces on which certain operators intimately related...

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COMPLETENESS OF *-SYMMETRIC GELFAND–NAIMARK–SEGAL INNER PRODUCT SPACES

E. Chetcuti and J. Hamhalter.

in The Quarterly Journal of Mathematics

June 2012; p ublished online June 2012 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Every state ϱ on a C*-algebra A induces a *-symmetric semi-inner product (x, y)↦ ϱ(y* x) + ϱ(xy*) (x, yA). The main scope of the paper is to characterize those states for which the...

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