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Operator-valued measures, dilations, and the theory of frames / Deguang Han, David R. Larson, Bei Liu, Rui Liu.

Math/Physics/Astronomy Library QA3 .A57 no.1075
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Format:
Book
Author/Creator:
Han, Deguang, 1959- author.
Larson, David R., 1942- author.
Liu, Bei, author.
Liu, Rui (Mathematician), author.
Series:
Memoirs of the American Mathematical Society ; no. 1075.
Memoirs of the American Mathematical Society, 0065-9266 ; number 1075
Language:
English
Subjects (All):
Vector-valued measures.
Operator spaces.
Von Neumann algebras.
Operator theory.
Physical Description:
viii, 84 pages ; 26 cm.
Place of Publication:
Providence, Rhode Island : American Mathematical Society, 2014.
Language Note:
Text in English.
Contents:
Preliminaries
Frames
Operator-valued measures
Dilation of operator-valued measures
Basic definitions
Dilation spaces and dilations
Elementary dilation spaces
The minimal dilation norm
The dual space of the minimal dilation space
The maximal dilation norm
Framings and dilations
Hilbertian dilations
Operator-valued measures induced by discrete framings
Operator-valued measures induced by continuous frames
Dilations of maps
Algebraic dilations
The commutative case
The noncommutative case.
Notes:
"May 2014, volume 229, number 1075 (second of 5 numbers)."
Includes bibliographical references.
ISBN:
9780821891728
0821891723
OCLC:
867424250

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