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The Resource Orthonormal systems and Banach space geometry, Albrecht Pietsch & Jörg Wenzel

Orthonormal systems and Banach space geometry, Albrecht Pietsch & Jörg Wenzel

Label
Orthonormal systems and Banach space geometry
Title
Orthonormal systems and Banach space geometry
Statement of responsibility
Albrecht Pietsch & Jörg Wenzel
Title variation
Orthonormal Systems & Banach Space Geometry
Creator
Contributor
Subject
Language
eng
Summary
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
Member of
Cataloging source
UkCbUP
http://library.link/vocab/creatorName
Pietsch, A.
Dewey number
515/.732
Index
index present
LC call number
QA322.2
LC item number
.P54 1998
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Wenzel, Jörg.
Series statement
Encyclopedia of mathematics and its applications
Series volume
volume 70
http://library.link/vocab/subjectName
Banach spaces
Label
Orthonormal systems and Banach space geometry, Albrecht Pietsch & Jörg Wenzel
Instantiates
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
CR9780511526145
Extent
1 online resource (ix, 553 pages)
Form of item
online
Isbn
9780511526145
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote
Label
Orthonormal systems and Banach space geometry, Albrecht Pietsch & Jörg Wenzel
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
CR9780511526145
Extent
1 online resource (ix, 553 pages)
Form of item
online
Isbn
9780511526145
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote

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