Geometry of Müntz Spaces and Related Questions
Language: English
Published by Springer Berlin / Heidelberg, 2005
- Softcover
- Used
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- Title
- Geometry of Müntz Spaces and Related Questions
- Author
- Lusky, Wolfgang, Gurariy, Vladimir I.
- Publisher
- Springer Berlin / Heidelberg
- Publication year
- 2005
- Condition
- Very Good
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3540288007
- ISBN 13
- 9783540288008
- Edition
- 2005th Edition.
- Item weight
- 1.389 pounds
- Dimensions
- N/A
- Series
- Book 1 of 20: Lecture Notes in Mathematics
Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present the known theorems and prove new results concerning, for example, the isomorphic and isometric classification and the existence of bases in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the reader is familiar with basic functional analysis. In the first part of the book the Banach spaces notions are systematically introduced and are later on applied for Muentz spaces. They include the opening and inclination of subspaces, bases and bounded approximation properties and versions of universality.
"Synopsis" may belong to another edition of this title.
From the Back Cover
Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present the known theorems and prove new results concerning, for example, the isomorphic and isometric classification and the existence of bases in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the reader is familiar with basic functional analysis. In the first part of the book the Banach spaces notions are systematically introduced and are later on applied for Muentz spaces. They include the opening and inclination of subspaces, bases and bounded approximation properties and versions of universality.
"About the title" may belong to another edition of this title.
Better World Books
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AbeBooks seller since August 3, 2006
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