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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Zielgruppe
Für Beruf und Forschung
Für höhere Schule und Studium
ISBN-13
978-0-8218-5059-6 (9780821850596)
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Schweitzer Klassifikation
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.
