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Differential Analysis in Infinite Dimensional Spaces
 
Differential Analysis in Infinite Dimensional Spaces
eBook ISBN:  978-0-8218-7639-8
Product Code:  CONM/54.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Differential Analysis in Infinite Dimensional Spaces
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Differential Analysis in Infinite Dimensional Spaces
eBook ISBN:  978-0-8218-7639-8
Product Code:  CONM/54.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 541986; 122 pp
    MSC: Primary 58

    This volume focuses on developments made in the past two decades in the field of differential analysis in infinite dimensional spaces. New techniques such as ultraproducts and ultrapowers have illuminated the relationship between the geometric properties of Banach spaces and the existence of differentiable functions on the spaces. The wide range of topics covered also includes gauge theories, polar subsets, approximation theory, group analysis of partial differential equations, inequalities, and actions on infinite groups.

    Addressed to both the expert and the advanced graduate student, the book requires a basic knowledge of functional analysis and differential topology.

  • Table of Contents
     
     
    • Articles
    • Melvyn S. Berger — The impact of gauge theories on nonlinear infinite-dimensional analysis [ MR 849791 ]
    • Seán Dineen — Polar subsets of infinite-dimensional spaces—small sets in large spaces [ MR 849792 ]
    • M. P. Heble — Approximation of differentiable functions on a Hilbert space. II [ MR 849793 ]
    • C. C. A. Sastri — Group analysis of some partial differential equations arising in applications [ MR 849794 ]
    • Mau-Hsiang Shih and Kok-Keong Tan — Minimax inequalities and applications [ MR 849795 ]
    • T. N. Subramaniam — Slices for actions of infinite-dimensional groups [ MR 849796 ]
    • Kondagunta Sundaresan — Convex functions on Banach lattices [ MR 849797 ]
    • K. Sundaresan and S. Swaminathan — Differential analysis and geometry of Banach spaces—isomorphic theory [ MR 849798 ]
    • J. H. M. Whitfield and V. Zizler — A survey of rough norms with applications [ MR 849799 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 541986; 122 pp
MSC: Primary 58

This volume focuses on developments made in the past two decades in the field of differential analysis in infinite dimensional spaces. New techniques such as ultraproducts and ultrapowers have illuminated the relationship between the geometric properties of Banach spaces and the existence of differentiable functions on the spaces. The wide range of topics covered also includes gauge theories, polar subsets, approximation theory, group analysis of partial differential equations, inequalities, and actions on infinite groups.

Addressed to both the expert and the advanced graduate student, the book requires a basic knowledge of functional analysis and differential topology.

  • Articles
  • Melvyn S. Berger — The impact of gauge theories on nonlinear infinite-dimensional analysis [ MR 849791 ]
  • Seán Dineen — Polar subsets of infinite-dimensional spaces—small sets in large spaces [ MR 849792 ]
  • M. P. Heble — Approximation of differentiable functions on a Hilbert space. II [ MR 849793 ]
  • C. C. A. Sastri — Group analysis of some partial differential equations arising in applications [ MR 849794 ]
  • Mau-Hsiang Shih and Kok-Keong Tan — Minimax inequalities and applications [ MR 849795 ]
  • T. N. Subramaniam — Slices for actions of infinite-dimensional groups [ MR 849796 ]
  • Kondagunta Sundaresan — Convex functions on Banach lattices [ MR 849797 ]
  • K. Sundaresan and S. Swaminathan — Differential analysis and geometry of Banach spaces—isomorphic theory [ MR 849798 ]
  • J. H. M. Whitfield and V. Zizler — A survey of rough norms with applications [ MR 849799 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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