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Interpolation Functors and Interpolation Spaces: Volume I (North-Holland Mathematical Library) by Jeffrey M. Lemm is a nonfiction available to read on EtoBox.

What is Interpolation Functors and Interpolation Spaces: Volume I (North-Holland Mathematical Library) about?

The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K -divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a de

Who reads Interpolation Functors and Interpolation Spaces: Volume I (North-Holland Mathematical Library)?

Author

Jeffrey M. Lemm

Publisher

North-Holland; Distributors for the U.S. and Canada, Elsevier Science Pub. Co.

Published

1991

Language

EN

ISBN

9780080887104

Category

nonfiction

Subjects

Mathematics, Stem