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Operator-valued measures, dilations, and the theory of frames / Deguang Han...[et al.].

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 229, no 1075.Publication details: Providence : American Mathematical Society, c2014.Description: viii, 84 p. ; 26 cmISBN:
  • 9780821891728 (pbk. : acidfree paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
1. Preliminaries -- 1.1 Frames -- 1.2 Operator-valued measures -- 2. Dilation of operator-valued measures -- 2.1 Basic definitions -- 2.2 Dilation spaces and dilations -- 2.3 Elementary dilation spaces -- 2.4 The minimal dilation norm -- 2.5 The dual space of the minimal dilation space -- 2.6 The maximal dilation norm -- 3. Framings and dilations -- 3.1 Hilbertian dilations -- 3.2 Operator-valued measures induced by discrete framings -- 3.3 Operator-valued measures induced by continuous frames -- 4. Dilations of maps -- 4.1 Algebraic dilations -- 4.2 The commutative case -- 4.3 The noncommutative case-- 5. Examples-- Bibliography.
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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512 (Browse shelf(Opens below)) Available 135896
Total holds: 0

"May 2014, volume 229, number 1075 (second of 5 numbers)."

Includes bibliographical references (pages 83-84).

1. Preliminaries --
1.1 Frames --
1.2 Operator-valued measures --

2. Dilation of operator-valued measures --
2.1 Basic definitions --
2.2 Dilation spaces and dilations --
2.3 Elementary dilation spaces --
2.4 The minimal dilation norm --
2.5 The dual space of the minimal dilation space --
2.6 The maximal dilation norm --

3. Framings and dilations --
3.1 Hilbertian dilations --
3.2 Operator-valued measures induced by discrete framings --
3.3 Operator-valued measures induced by continuous frames --

4. Dilations of maps --
4.1 Algebraic dilations --
4.2 The commutative case --
4.3 The noncommutative case--
5. Examples--
Bibliography.

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.

Text in English.

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