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Elsevier

North Holland

  • Approximation Problems in Analysis and Probability

    • 1st Edition
    • Volume 159
    • M.P. Heble
    • English
    This is an exposition of some special results on analytic or C∞-approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C∞-approximation of functions defined in a separable Hilbert space. The volume also contains some special results on approximation of stochastic processes. The results explained in the book have been obtained over a span of nearly five decades.

  • Saks Spaces and Applications to Functional Analysis

    • 2nd Edition
    • Volume 139
    • J.B. Cooper
    • English
    The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated. The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.

  • Spectral Transform and Solitons

    • 1st Edition
    • Volume 13
    • F. Calogero + 1 more
    • English

  • Symmetric Banach Manifolds and Jordan C<SUP>*</SUP>-Algebras

    • 1st Edition
    • Volume 104
    • H. Upmeier
    • English
    This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes in a systematic way a wealth of recent results which are so far only accessible in research journals and contains additional original contributions. Using Banach Lie groups and Banach Lie algebras, a theory of transformation groups on infinite dimensional manifolds is presented which covers many important examples such as Grassmann manifolds and the unit balls of operator algebras. The theory also has potential importance for mathematical physics by providing foundations for the construction of infinite dimensional curved phase spaces in quantum field theory.

  • Topological Algebras

    Selected Topics
    • 1st Edition
    • Volume 124
    • A. Mallios
    • English
    This volume is addressed to those who wish to apply the methods and results of the theory of topological algebras to a variety of disciplines, even though confronted by particular or less general forms. It may also be of interest to those who wish, from an entirely theoretical point of view, to see how far one can go beyond the classical framework of Banach algebras while still retaining substantial results.The need for such an extension of the standard theory of normed algebras has been apparent since the early days of the theory of topological algebras, most notably the locally convex ones. It is worth noticing that the previous demand was due not only to theoretical reasons, but also to potential concrete applications of the new discipline.

  • Nuclear and Conuclear Spaces

    • 1st Edition
    • Volume 52
    • H. Hogbe-Nlend + 1 more
    • English

  • Second Order Linear Differential Equations in Banach Spaces

    • 1st Edition
    • Volume 108
    • H.O. Fattorini
    • English
    Second order linear differential equations in Banach spaces can be used for modelling such second order equations of mathematical physics as the wave equation, the Klein-Gordon equation, et al. In this way, a unified treatment can be given to subjects such as growth of solutions, singular perturbation of parabolic, hyperbolic and Schrödinger type initial value problems, and the like. The book covers in detail these subjects as well as the applications to each specific problem.

  • Theories of Computational Complexity

    • 1st Edition
    • Volume 35
    • C. Calude
    • English
    This volume presents four machine-independent theories of computational complexity, which have been chosen for their intrinsic importance and practical relevance. The book includes a wealth of results - classical, recent, and others which have not been published before.In developing the mathematics underlying the size, dynamic and structural complexity measures, various connections with mathematical logic, constructive topology, probability and programming theories are established. The facts are presented in detail. Extensive examples are provided, to help clarify notions and constructions. The lists of exercises and problems include routine exercises, interesting results, as well as some open problems.

  • Mathematical Models in Environmental Problems

    • 1st Edition
    • Volume 16
    • G.I. Marchuk
    • English

  • Mathematicians and Their Times

    • 1st Edition
    • Volume 48
    • L. Young
    • English

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