## Increasing Returns in Infinite-Horizon Economies

in** The Review of Economic Studies**

January 1997; p ublished online January 1997 .

Journal Article. Subjects: Economics. 0 words.

This paper shows that in a general equilibrium model with an infinite horizon in which production may exhibit increasing returns to scale or non-convexities, marginal cost pricing...

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** » ** abstract

##
Properties of a subalgebra of H^{∞}(𝔻) and stabilization

in** IMA Journal of Mathematical Control and Information**

March 2008; p ublished online February 2007 .

Journal Article. Subjects: Mathematics. 0 words.

Let 𝔻 denote the open unit disc in ℂ. Let 𝕋 denote the unit circle and let *S* ⊂ T. We denote by *A _{S}
*(𝔻) the set of all functions

*f*: 𝔻 ∪

*S*→ ℂ that are holomorphic in 𝔻 and...

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** » ** abstract

## LIPSCHITZ FUNCTIONS ON HERMITIAN BANACH *-ALGEBRAS

in** The Quarterly Journal of Mathematics**

June 2006; p ublished online December 2005 .

Journal Article. Subjects: Pure Mathematics. 10337 words.

**Abstract**

We characterize semisimple Hermitian Banach *-algebras [math] with ‘rich’ spaces of [math]-Lipschitz functions and describe these spaces. For unital...

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** » ** abstract

## Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation

in** IMA Journal of Numerical Analysis**

January 2010; p ublished online June 2009 .

Journal Article. Subjects: Mathematics. 0 words.

In a previous paper, McLean & Thomée (2009, *J. Integr. Equ. Appl.* (to appear)), we studied three numerical methods for the discretization in time of a fractional-order evolution equation in...

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** » ** abstract

## Smoothing properties and approximation of time derivatives for parabolic equations: constant time steps

in** IMA Journal of Numerical Analysis**

July 2003; p ublished online July 2003 .

Journal Article. Subjects: Mathematics. 0 words.

We study smoothing properties and approximation of time derivatives for time discretization schemes with constant time steps for a homogeneous parabolic problem formulated as an abstract...

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** » ** abstract

## Multistep approximation of linear sectorial evolution equations

in** IMA Journal of Numerical Analysis**

January 2005; p ublished online January 2005 .

Journal Article. Subjects: Mathematics. 0 words.

This paper concerns the linear multistep approximation of a linear sectorial evolution equation *u _{t}
* =

*Au*on a complex Banach space

*X*. Given a strictly

*A*(α)-stable

*q*-step method...

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** » ** abstract

## Operator Geometry in Statistics

in** The Oxford Handbook of Functional Data Analysis**

November 2010; p ublished online August 2018 .

Article. Subjects: Mathematics. 12465 words.

This article discusses the essentials of operator trigonometry developed by the author as it applies to statistics, with emphasis on key elements such as operator antieigenvalues, operator...

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** » ** abstract

## UNCONDITIONALITY IN TENSOR PRODUCTS AND IDEALS OF POLYNOMIALS, MULTILINEAR FORMS AND OPERATORS

in** The Quarterly Journal of Mathematics**

December 2011; p ublished online July 2011 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We study tensor norms that destroy unconditionality in the following sense: for every Banach space *E* with unconditional basis, the *n*-fold tensor product of *E* (with the corresponding tensor...

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** » ** abstract

## STABLE MANIFOLDS FOR NON-AUTONOMOUS EQUATIONS WITH NON-UNIFORM POLYNOMIAL DICHOTOMIES

in** The Quarterly Journal of Mathematics**

June 2012; p ublished online June 2012 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We establish the existence of stable manifolds for semiflows defined in Banach spaces by non-autonomous ordinary differential equations *v*′ = *A*(*t*)*v* + *f*(*t*, *v*) assuming that the non-autonomous...

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** » ** abstract

##
ON THE GELFAND–NAIMARK AXIOM ||*a** *a*||=‖*a**‖ ‖*a*‖

in** The Quarterly Journal of Mathematics**

December 2012; p ublished online August 2011 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Let *A* be a (possibly non-associative) complex Banach algebra and let * be a conjugate-linear vector space involution on *A* such that ‖ *a***a*‖=‖ *a**‖ ‖ *a* ‖ for every *a*∈*A*. We prove the following...

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** » ** abstract

## Large noise in variational regularization

in** Transactions of Mathematics and Its Applications**

P ublished online August 2018 .

Journal Article. Subjects: Mathematics; Applied Mathematics. 17067 words.

**Abstract**

In this paper we consider variational regularization methods for inverse problems with large noise that is in general unbounded in the image space of...

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** » ** full text: open access

## Spectral Theory and Differential Operators

May 2018; p ublished online September 2018 .

Book. Subjects: Pure Mathematics. 624 pages.

This book gives an account of those parts of the analysis of closed linear operators acting in Banach or Hilbert spaces that are relevant to spectral problems involving differential...

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** » ** abstract

## Global convergence rate of a standard multigrid method for variational inequalities

in** IMA Journal of Numerical Analysis**

January 2014; p ublished online April 2013 .

Journal Article. Subjects: Mathematics. 0 words.

The main purpose of this paper is to give an estimation of the global convergence rate for the standard monotone multigrid method applied to variational inequalities whose constraints are...

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** » ** abstract

##
Operators on *σ*-complete C*-algebras

in** The Quarterly Journal of Mathematics**

September 2005; p ublished online September 2005 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Let *B* be a unital monotone *σ*-complete C^{*}-algebra, *X* a Banach space and (*T*
_{
n
}) (*n*=1, 2,…) a sequence of weakly compact operators from *B* to *X*. Our key...

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** » ** abstract

## Feynman's Operational Calculus and Beyond

August 2015; p ublished online September 2015 .

Book. Subjects: Mathematical and Statistical Physics; Mathematics. 384 pages.

This book provides an abstract theory of Feynman’s operational calculus for functions of (typically) noncommuting operators. Although it is inspired by Feynman’s original heuristic...

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** » ** abstract

## The Oxford Handbook of Functional Data Analysis

November 2010; p ublished online August 2018 .

Book. Subjects: Science and Mathematics. 514 pages.

This handbook presents the state-of-the-art of the statistics dealing with functional data analysis. With contributions from international experts in the field, it discusses a wide range of...

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** » ** abstract

## A broad class of evolution equations are approximately controllable, but never exactly controllable

in** IMA Journal of Mathematical Control and Information**

September 2005; p ublished online September 2005 .

Journal Article. Subjects: Mathematics. 0 words.

As we have announced in the title of this work, we show that a broad class of evolution equations are approximately controllable but never exactly controllable. This class is represented by...

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** » ** abstract

##
A Class of Contracting Stream Operators^{†}

in** The Computer Journal**

January 2013; p ublished online May 2012 .

Journal Article. Subjects: Computer Science. 0 words.

In (Tucker, J. V. and Zucker, J. I. (2007) Computability of analog networks. Theoret. Comput. Sci., 371, 115–146; Tucker, J. V. and Zucker, J. I. (2011) Continuity of operators on...

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** » ** abstract

##
Big points in *C*
^{*}-algebras and *JB*
^{*}-triples

in** The Quarterly Journal of Mathematics**

June 2005; p ublished online June 2005 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Let *X* be a Banach space. For a norm-one element *u* in *X* we put σ(*X*, *u*):=sup{||*ψ*−Π(*ψ*)||:*ψ*∈*D*(*X*
^{**}, *u*)}, where *D*(*X*
^{**}, ·) denotes the duality mapping of *X*
^{**},...

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** » ** abstract

## Embeddings of Discrete Groups and the Speed of Random Walks

in** International Mathematics Research Notices**

January 2008; p ublished online January 2008 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 0 words.

Let *G* be a group generated by a finite set *S* and equipped with the associated left-invariant word metric *d _{G}
*. For a Banach space

*X*, let α

^{*}

_{ Xnull...}