Oxford Index Search Results

You are looking at 41-60 of 120 items for:

Banach space x clear all

Borel–Weil Theory for Root Graded Banach–Lie Groups

Christoph Müller, Karl-Hermann Neeb and Henrik Seppänen.

in International Mathematics Research Notices

January 2010; p ublished online October 2009 .

Journal Article. Subjects: Mathematics. 11165 words.

In this article, we introduce (weakly) root graded Banach–Lie algebras and corresponding Lie groups as natural generalizations of group like for a Banach algebra A or groups like C(X,K)...

Go to »  full text   » abstract

THE SPECTRUM OF VOLTERRA OPERATORS ON WEIGHTED SPACES OF ENTIRE FUNCTIONS

José Bonet.

in The Quarterly Journal of Mathematics

September 2015; p ublished online June 2015 .

Journal Article. Subjects: Pure Mathematics. 4544 words.

We investigate the spectrum of the Volterra operator [math] with symbol an entire function [math], when it acts on weighted Banach spaces [math] of entire functions with sup-norms and when...

Go to »  full text

Numerical‐Radius‐Attaining Polynomials

M. D. Acosta, J. Becerra Guerrero and M. Ruiz Galán.

in The Quarterly Journal of Mathematics

March 2003; p ublished online March 2003 .

Journal Article. Subjects: Pure Mathematics. 0 words.

In this paper we discuss a version of James theorem making use of polynomials which attain their numerical radius. In addition, we obtain a characterization of finite‐dimensional Banach...

Go to »  full text   » abstract

On the dentability of weak*-Hδ sets

M. Raja.

in The Quarterly Journal of Mathematics

September 2005; p ublished online September 2005 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We state several conditions equivalent to weak*-dentability for certain subsets of a dual Banach space which include both the compact case and a result of Ghoussoub and Maurey.

Go to »  full text   » abstract

DUALITY IN SPACES OF LORCH ANALYTIC MAPPINGS

Luiza A. Moraes and Alex F. Pereira.

in The Quarterly Journal of Mathematics

September 2016; p ublished online September 2016 .

Journal Article. Subjects: Pure Mathematics. 4433 words.

For a complex Banach algebra [math], we study the strong dual of the Fréchet space [math] of the mappings [math] that are analytic in the sense of Lorch. First, we will show that [math] is...

Go to »  full text

POLYNOMIAL NUMERICAL INDEX FOR SOME COMPLEX VECTOR-VALUED FUNCTION SPACES

Yun Sung Choi, Domingo García, Manuel Maestre and Miguel Martín.

in The Quarterly Journal of Mathematics

December 2008; p ublished online January 2008 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We study the relation between the polynomial numerical indices of a complex vector-valued function space and the ones of its range space. It is proved that the spaces C(K, X) and Lnull...

Go to »  full text   » abstract

SEMISIMPLE BANACH ALGEBRAS GENERATED BY STRONGLY CONTINUOUS REPRESENTATIONS OF MOORE GROUPS

J. Alaminos, J. Extremera and A. R. Villena.

in The Quarterly Journal of Mathematics

June 2008; p ublished online December 2007 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We prove that if τ is a strongly continuous bounded representation of a Moore group G on a Banach space X, and if the Arveson spectrum of τ is scattered, then the closure with respect to...

Go to »  full text   » abstract

Smoothness, Convexity, Porosity, and Separable Determination

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. 8604 words.

This chapter shows how spaces with separable dual admit a Fréchet smooth norm. It first considers a criterion of the differentiability of continuous convex functions on Banach spaces before...

Go to Princeton University Press »  abstract

A NOTE ON FRAGMENTABILITY AND WEAK-G δ SETS

V. P. Fonf, R. J. Smith and S. Troyanski.

in The Quarterly Journal of Mathematics

June 2012; p ublished online June 2012 .

Journal Article. Subjects: Pure Mathematics. 0 words.

In terms of fragmentability, we describe a new class of Banach spaces which may be c 0-saturated but do not contain weak-G δ open...

Go to »  full text   » abstract

The vector-valued nonhomogeneous Tb Theorem

Tuomas P. Hytönen.

in International Mathematics Research Notices

January 2014; p ublished online October 2012 .

Journal Article. Subjects: Mathematics. 12407 words.

This paper gives a Banach space-valued extension of the Tb theorem of Nazarov et al. [20] concerning the boundedness of singular integral operators with respect to a measure μ, which only...

Go to »  full text   » abstract

UNIQUENESS OF THE EXTENSION OF 2-HOMOGENEOUS POLYNOMIALS

P. Galindo and M. L. Lourenço.

in The Quarterly Journal of Mathematics

December 2010; p ublished online April 2009 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Homogeneous polynomials of degree 2 on the complex Banach space c 0(ℓ n 2) are shown to have unique norm-preserving extension to the...

Go to »  full text   » abstract

COARSE AND UNIFORM EMBEDDINGS INTO REFLEXIVE SPACES

N. J. Kalton.

in The Quarterly Journal of Mathematics

September 2007; p ublished online June 2007 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Abstract

Answering an old problem in nonlinear theory, we show that c 0 cannot be coarsely or uniformly embedded into a reflexive Banach space,...

Go to »  full text   » abstract

PROJECTIVITY OF BANACH AND C*-ALGEBRAS OF CONTINUOUS FIELDS

David Cushing and Zinaida A. Lykova.

in The Quarterly Journal of Mathematics

June 2013; p ublished online March 2012 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We give necessary and sufficient conditions for the left projectivity and biprojectivity of Banach algebras defined by locally trivial continuous fields of Banach algebras. We identify...

Go to »  full text   » abstract

Non-linear fractional integro-differential systems with non-local conditions

Hamdy M. Ahmed.

in IMA Journal of Mathematical Control and Information

June 2016; p ublished online November 2014 .

Journal Article. Subjects: Mathematics. 4251 words.

We prove the existence of mild solutions of fractional integro-differential equations with non-local conditions in Banach spaces. Sufficient conditions for controllability of fractional...

Go to »  full text

Operator splitting for abstract Cauchy problems

M Bjørhus.

in IMA Journal of Numerical Analysis

July 1998; p ublished online July 1998 .

Journal Article. Subjects: Mathematics. 0 words.

The operator splitting technique is formulated for inhomogeneous abstract Cauchy problems in Banach spaces, and its convergence properties are analyzed using the concepts, familiar from...

Go to »  full text   » abstract

On a multistep method approximating a linear sectorial evolution equation

Nicoletta Del Buono and Adrian T. Hill.

in IMA Journal of Numerical Analysis

July 2002; p ublished online July 2002 .

Journal Article. Subjects: Mathematics. 0 words.

This paper concerns the linear multistep approximation of an abstract dissipative linear sectorial evolution equation on a Banach space X. We study how well the semigroup generated by a...

Go to »  full text   » abstract

ON INTERPOLATION OF THE MEASURE OF NON-COMPACTNESS BY THE COMPLEX METHOD

Radosław Szwedek.

in The Quarterly Journal of Mathematics

March 2015; p ublished online April 2014 .

Journal Article. Subjects: Pure Mathematics. 0 words.

The measure of non-compactness of operators between complex interpolation spaces is studied. An estimate of this measure, under the Calderón approximation condition, is proved. Examples of...

Go to »  full text

Estimates for absolutely summing norms of polynomials and multilinear maps

Yun sung Choi, Sung guen Kim, Yolanda MelÉndez and Andrew Tonge.

in The Quarterly Journal of Mathematics

March 2001; p ublished online March 2001 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We obtain lower bounds for the usual norms and the absolutely summing norms of polynomials and multilinear mappings from l p or c 0 to a Banach space.

Our...

Go to »  full text   » abstract

Noetherian Properties of Fargues-Fontaine Curves

Kiran S. Kedlaya.

in International Mathematics Research Notices

January 2016; p ublished online July 2015 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 10326 words.

We establish that the extended Robba rings associated to a perfect nonarchimedean field of characteristic [math], which arise in [math]-adic Hodge theory as certain completed localizations...

Go to »  full text

AMENABILITY AND MODULES FOR ARENS PRODUCT ALGEBRAS

Ross Stokke.

in The Quarterly Journal of Mathematics

March 2015; p ublished online June 2014 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Given a Banach algebra A, we introduce the notion of a left dual Banach algebra (LDBA) over A, and we establish that every LDBA over A is a left Arens product algebra over A. This can be...

Go to »  full text