| 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 |
| 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 |
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Book DetailsContemporary MathematicsVolume: 54; 1986; 122 ppMSC: 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.
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Table of Contents
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Articles
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Melvyn S. Berger — The impact of gauge theories on nonlinear infinite-dimensional analysis [ MR 849791 ]
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Seán Dineen — Polar subsets of infinite-dimensional spaces—small sets in large spaces [ MR 849792 ]
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M. P. Heble — Approximation of differentiable functions on a Hilbert space. II [ MR 849793 ]
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C. C. A. Sastri — Group analysis of some partial differential equations arising in applications [ MR 849794 ]
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Mau-Hsiang Shih and Kok-Keong Tan — Minimax inequalities and applications [ MR 849795 ]
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T. N. Subramaniam — Slices for actions of infinite-dimensional groups [ MR 849796 ]
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Kondagunta Sundaresan — Convex functions on Banach lattices [ MR 849797 ]
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K. Sundaresan and S. Swaminathan — Differential analysis and geometry of Banach spaces—isomorphic theory [ MR 849798 ]
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J. H. M. Whitfield and V. Zizler — A survey of rough norms with applications [ MR 849799 ]
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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 ]
