Differential analysis in infinite dimensional spaces : proceedings of an AMS special session held August 8-10, 1983, with partial support from the NSERC (Canada)

Author(s)

• Sundaresan, Kondagunta
• Speical Session on Differential Analysis in Infinite Dimensional Spaces
• American Mathematical Society
• Swaminathan, Srinivasa

Bibliographic Information

Differential analysis in infinite dimensional spaces : proceedings of an AMS special session held August 8-10, 1983, with partial support from the NSERC (Canada)

Kondagunta Sundaresan and Srinivasa Swaminathan, editors

（Contemporary mathematics, v. 54）

American Mathematical Society, c1986

• : pbk. : alk. paper

Note

"Proceedings of the Special Session on Differential Analysis in Infinite Dimensional Spaces ... held at the 87th Summer Meeting of the American Mathematical Society in Albany, New York"--Verso of t.p.

Includes bibliographies

Description and Table of Contents

Description

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

The impact of gauge theories on nonlinear infinite dimensional analysis by M. S. Berger Polar subsets in infinite dimensional spaces-small sets in large spaces by S. Dineen Approximation of differentiable functions on a Hilbert space, II by M. P. Heble Group analysis of some partial differential equations arising in applications by C. C. A. Sastri Minimax inequalities and applications by M.-H. Shih and K.-K. Tan Slices for actions of infinite dimensional groups by T. N. Subramanian Convex functions on Banach lattices by K. Sundaresan Differential analysis and geometry of Banach spaces-isomorphism theory by K. Sundaresan and S. Swaminathan A survey of rough norms with applications by J. H. M. Whitfield and V. Zizler.

by "Nielsen BookData"

Details

• NCID: BA00659241
• ISBN:
  • 0821850598
• LCCN: 86003510
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: ix, 122 p.
• Size: 26 cm
• Classification:
  • LCC : QA613
  • DC19 : 514/.74
  • NDC8 : 414.7
  • NDC8 : 415.7
• Subject Headings:
  • LCSH : Complex manifolds -- Congresses
  • LCSH : Differentiable manifolds -- Congresses
  • NDLSH : 複素変数関数論
  • NDLSH : 微分可能多様体
• Parent Bibliography ID:
  • BA00009927