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Books in Functional analysis

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11-20 of 62 results in All results

Saks Spaces and Applications to Functional Analysis

  • 2nd Edition
  • Volume 139
  • August 18, 2011
  • J.B. Cooper
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 5 0 - 6
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.

Nuclear and Conuclear Spaces

  • 1st Edition
  • Volume 52
  • August 18, 2011
  • H. Hogbe-Nlend + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 1 6 3 - 9

Convex Cones

  • 1st Edition
  • Volume 56
  • August 18, 2011
  • B. Fuchssteiner + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 1 6 7 - 7

The Bidual of C(X) I

  • 1st Edition
  • Volume 101
  • August 18, 2011
  • S. Kaplan
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 1 2 - 4

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

  • 1st Edition
  • Volume 104
  • August 18, 2011
  • H. Upmeier
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 1 5 - 5
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.

Elementary Introduction to New Generalized Functions

  • 1st Edition
  • Volume 113
  • August 18, 2011
  • J.F. Colombeau
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 2 4 - 7
The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C∞ functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field.

Weighted Norm Inequalities and Related Topics

  • 1st Edition
  • Volume 116
  • August 18, 2011
  • J. García-Cuerva + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 2 7 - 8
The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.