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Isometries on Banach Spaces: function spaces (Monographs and Surveys in Pure and Applied Mathematics) - Tapa dura

Libro 17 de 34: Monographs and Surveys in Pure and Applied Mathematics

Fleming, Richard J.; Jamison, James E.

 
9781584880400: Isometries on Banach Spaces: function spaces (Monographs and Surveys in Pure and Applied Mathematics)
Tapa dura
ISBN 10: 1584880406 ISBN 13: 9781584880400
Editorial: Chapman and Hall/CRC, 2002

Sinopsis

Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric space must transform a continuous function x into a continuous function y satisfying y(t) = h(t)x(p(t)), where p is a homeomorphism and |h| is identically one. Isometries on Banach Spaces: Function Spaces is the first of two planned volumes that survey investigations of Banach-space isometries. This volume emphasizes the characterization of isometries and focuses on establishing the type of explicit, canonical form given above in a variety of settings. After an introductory discussion of isometries in general, four chapters are devoted to describing the isometries on classical function spaces. The final chapter explores isometries on Banach algebras. This treatment provides a clear account of historically important results, exposes the principal methods of attack, and includes some results that are more recent and some that are lesser known. Unique in its focus, this book will prove useful for experts as well as beginners in the field and for those who simply want to acquaint themselves with this area of Banach space theory.

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Acerca del autor

Fleming, Richard J.; Jamison, James E.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Chapman and Hall/CRC
Año de publicación
2002
Idioma
Inglés
ISBN 10 
1584880406
ISBN 13 
9781584880400
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
208
Contacto del fabricante
Taylor and Francis, GPSR Taylor and Francis
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