Tensor norms and operator ideals [electronic resource] / Andreas Defant, Klaus Floret.
Material type:
TextSeries: North-Holland mathematics studies ; 176.Publication details: Amsterdam ; New York : North-Holland, 1993. Description: 1 online resource (xi, 566 p.) : illISBN: 9780444890917; 0444890912Subject(s): Tensor products | Operator ideals | Produits tensoriels | Id�eaux d'op�erateurs | Tensoren | Operatoren | Produits tensoriels | Operator ideals | Tensor productsGenre/Form: Electronic books.Additional physical formats: Print version:: Tensor norms and operator ideals.DDC classification: 515.63 LOC classification: QA322 | .D37 1993ebOnline resources: ScienceDirect | Volltext Summary: 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 Resum�e 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.
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 Resum�e 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.
Includes bibliographical references (p. 527-544) and index.
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