Oxford Index Search Results

You are looking at 21-40 of 117 items for:

Banach space x Science and Mathematics x clear all

Criteria for exponential stability of linear differential equations with positive evolution on ordered Banach spaces

Vasile Dragan and Toader Morozan.

in IMA Journal of Mathematical Control and Information

September 2010; p ublished online July 2010 .

Journal Article. Subjects: Mathematics. 0 words.

In this paper, the problem of exponential stability of the zero state equilibrium of a linear differential equation defined by an operator-valued function with positive evolution on an...

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Linear Operators in Banach Spaces

D. E. Edmunds and W. D. Evans.

in Spectral Theory and Differential Operators

May 2018; p ublished online September 2018 .

Chapter. Subjects: Pure Mathematics. 30346 words.

Three main themes run through this chapter: compact linear operators, measures of non-compactness, and Fredholm and semi-Fredholm maps. Connections are established between these themes so...

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COMPUTABILITY ON NON-SEPARABLE BANACH SPACES AND LANDAU'S THEOREM

Vasco Brattka.

in From Sets and Types to Topology and Analysis

October 2005; p ublished online September 2007 .

Chapter. Subjects: Logic. 10755 words.

In computable analysis, a computable normed space turns out to be necessarily separable. In classical functional analysis, non-separable spaces occur naturally, for example as dual spaces...

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Smooth functions and partitions of unity on certain Banach spaces

R Haydon.

in The Quarterly Journal of Mathematics

December 1996 .

Journal Article. Subjects: Pure Mathematics. 0 words.

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On the holomorphic rigidity of linear operators on complex Banach spaces

J Arazy and W Kaup.

in The Quarterly Journal of Mathematics

September 1999; p ublished online September 1999 .

Journal Article. Subjects: Pure Mathematics. 0 words.

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Convex‐Transitive Banach Spaces, Big Points, and the Duality Mapping

Julio Becerra Guerrero and Angel Rodríguez‐Palacios.

in The Quarterly Journal of Mathematics

September 2002; p ublished online September 2002 .

Journal Article. Subjects: Pure Mathematics. 0 words.

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SMOOTH FUNCTIONS AND PARTITIONS OF UNITY ON CERTAIN BANACH SPACES

RICHARD HAYDON.

in The Quarterly Journal of Mathematics

December 1996 .

Journal Article. Subjects: Pure Mathematics. 0 words.

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A KREIN-ŠMULIAN TYPE RESULT IN BANACH SPACES

B. CASCALES, G. MANJABACAS and G. VERA.

in The Quarterly Journal of Mathematics

June 1997; p ublished online June 1997 .

Journal Article. Subjects: Pure Mathematics. 0 words.

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Local convergence of Newton's method in Banach space from the viewpoint of the majorant principle

Orizon P. Ferreira.

in IMA Journal of Numerical Analysis

July 2009; p ublished online July 2008 .

Journal Article. Subjects: Mathematics. 0 words.

A local convergence analysis of Newton's method for solving nonlinear equations, based on Kantorovich's majorant principle, is presented in this paper. This analysis provides a clear...

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Sphere Equivalence, Banach Expanders, and Extrapolation

Masato Mimura.

in International Mathematics Research Notices

January 2015; p ublished online May 2014 .

Journal Article. Subjects: Mathematics. 6309 words.

We study the Banach spectral gap λ 1(G;X,p) of finite graphs G for pairs (X,p) of Banach spaces and exponents. We define the notion of sphere equivalence between Banach spaces...

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Banach algebra

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 37 words.

An algebra on a *Banach space that satisfies the inequality ||xy||≤||x||.||y|| for all elements ...

Generality and structures in functional analysis: the influence of Stefan Banach

Frédéric Jaëck.

in The Oxford Handbook of Generality in Mathematics and the Sciences

July 2016; p ublished online July 2017 .

Article. Subjects: Mathematical and Statistical Physics. 15858 words.

This article examines Stefan Banach’s contributions to the field of functional analysis based on the concept of structure and the multiply-flvored expression of generality that arises in...

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CONVEX-TRANSITIVITY OF BANACH ALGEBRAS VIA IDEALS

Jarno Talponen.

in The Quarterly Journal of Mathematics

June 2013; p ublished online January 2012 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We investigate a method for producing concrete convex-transitive Banach spaces. The key idea of the method consists of getting rid of dissymmetries of a given space by taking a carefully...

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BANACH-LIE ALGEBRAS WITH EXTREMAL ELEMENTS

Antonio Fernández López.

in The Quarterly Journal of Mathematics

March 2011; p ublished online October 2009 .

Journal Article. Subjects: Pure Mathematics. 0 words.

In this paper strongly prime Banach-Lie algebras with extremal elements are described. They turn out to be natural extensions of the classical Banach-Lie algebras of compact operators on...

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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)...

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UNIFORMLY CONVEX-TRANSITIVE FUNCTION SPACES

Fernando Rambla-Barreno and Jarno Talponen.

in The Quarterly Journal of Mathematics

March 2011; p ublished online August 2009 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We introduce a property of Banach spaces, called uniform convex-transitivity, which falls between almost transitivity and convex transitivity. We will provide examples of uniformly...

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Applications of Summing Inclusion Maps to Interpolation of Operators

Andreas Defant, Mieczysław Mastyło and Carsten Michels.

in The Quarterly Journal of Mathematics

March 2003; p ublished online March 2003 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We study interpolation of operators between abstract real method spaces by using thin Banach ideal properties of the inclusion maps between Banach sequence spaces generating these spaces. An...

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MAXIMUM MODULUS OF RANDOM POLYNOMIALS

Frédéric Bayart.

in The Quarterly Journal of Mathematics

March 2012; p ublished online August 2010 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We give an upper bound of the expectation of the supremum norm of a homogeneous Bernoulli polynomial on the unit ball of a Banach space. This upper bound depends on the geometry of the...

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Unconditionality in spaces of m-homogeneous polynomials

Andreas Defant and Nigel Kalton.

in The Quarterly Journal of Mathematics

March 2005; p ublished online March 2005 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Let E be a Banach space with an unconditional basis. We prove that for m ≥ 2 the Banach space P( m E) of all m-homogeneous polynomials on E has an...

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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...

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