Tensor norms and operator ideals

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Tensor norms and operator ideals / Andreas Defant, Klaus Floret

資料種別:

図書

出版情報:

Amsterdam ; New York : North-Holland, 1993

形態:

xi, 566 p. ; 25 cm

シリーズ名:

North-Holland mathematics studies ; 176 <BA00027270>

著者名:

ISBN:

9780444890917 [0444890912]

書誌ID:

BA19123870

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references (p. 527-544) and index

主題:

Operator ideals; Tensor products

言語:

英語

目次情報:

Basic Concepts

Bilinear Mappings

The Algebraic Theory of Tensor Products

The Projective Norm

The Injective Norm

The Approximation Property

Duality of the Projective and Injective Norm

The Natural Norm on the p-Integrable Functions

Absolutely and Weakly p-Summable Series and Averaging Techniques

Operator Ideals

Integral Operators

Absolutely p-Summing Operators

Tensor Norms

Definition and Examples

The Five Basic Lemmas

Grothendieck's Inequality

Dual Tensor Norms

The Bounded Approximation Property

The Representation Theorem for Maximal Operator Ideals

(p-q)-Factorable Operators

(p-q)-Dominated Operators

Projective and Injective Tensor Norms

Accessible Tensor Norms and Operator Ideals

Minimal Operator Ideals

L g p -Spaces

Stable Measures

Composition of Accessible Operator Ideals

More About L p and Hilbert Spaces

Grothendieck's Fourteen Natural Norms

Special Topics

More Tensor Norms

The Calculus of Traced Tensor Norms

The Vector Valued Fourier Transform

Pisier's Factorization Theorem

Mixing Operators

The Radon-Nikodym Property for Tensor Norms and Reflexivity

Tensorstable Operator Ideals

Tensor Norm Techniques for Locally Convex Spaces

Appendices

References

Index

Basic Concepts

Bilinear Mappings

The Algebraic Theory of Tensor Products

The Projective Norm

The Injective Norm

The Approximation Property

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