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Orthonormal Systems and Banach Space Geometry: 70 (Encyclopedia of Mathematics and its Applications, Series Number 70) - Hardcover
Synopsis
Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra.
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Review
'This work will certainly become a standard reference.' Zenbralblatt MATH
' ... the book contains an enormous amount of information ... it will serve as an invaluable reference book for years to come.' G. J. O. Jameson
' ... this volume [is certain] to become a standard reference.' M. Grosser, Monatshefte für Mathematik
Book Description
Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry and yields a detailed insight into type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD).
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Orthonormal Systems and Banach Space Geometry (Encyclopedia of Mathematics and its Applications, Series Number 70)
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Orthonormal Systems and Banach Space Geometry
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Orthonormal Systems and Banach Space Geometry (Encyclopedia of Mathematics and its Applications)
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Orthonormal Systems and Banach Space Geometry (Encyclopedia of Mathematics and its Applications, Series Number 70)
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ISBN 10: 0521624622
ISBN 13: 9780521624626
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Orthonormal Systems and Banach Space Geometry (Hardcover)
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ISBN 10: 0521624622
ISBN 13: 9780521624626
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Hardcover. Condition: new. Hardcover. Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra. Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521624626
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Orthonormal Systems and Banach Space Geometry
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Orthonormal Systems and Banach Space Geometry (Encyclopedia of Mathematics and its Applications, Series Number 70)
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ISBN 13: 9780521624626
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Orthonormal Systems and Banach Space Geometry (Hardcover)
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ISBN 10: 0521624622
ISBN 13: 9780521624626
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Hardcover. Condition: new. Hardcover. Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra. Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780521624626
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Orthonormal Systems and Banach Space Geometry
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Orthonormal Systems and Banach Space Geometry (Encyclopedia of Mathematics and its Applications, Series Number 70)
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ISBN 10: 0521624622
ISBN 13: 9780521624626
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