Tensor Norms and Operator Ideals

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Number Theory
Cover of the book Tensor Norms and Operator Ideals by A. Defant, K. Floret, Elsevier Science
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Author: A. Defant, K. Floret ISBN: 9780080872872
Publisher: Elsevier Science Publication: November 26, 1992
Imprint: North Holland Language: English
Author: A. Defant, K. Floret
ISBN: 9780080872872
Publisher: Elsevier Science
Publication: November 26, 1992
Imprint: North Holland
Language: English

The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resumé and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises.

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The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resumé and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises.

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