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Operator-Valued Measures, Dilations, and the Theory of Frames.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2014Copyright date: ©2014Edition: 1st edDescription: 1 online resource (98 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470415297
Subject(s): Genre/Form: Additional physical formats: Print version:: Operator-Valued Measures, Dilations, and the Theory of FramesDDC classification:
  • 512/.556
LOC classification:
  • QA325 -- .H36 2014eb
Online resources:
Contents:
Intro -- Contents -- Introduction -- Chapter 1. Preliminaries -- 1.1. Frames -- 1.2. Operator-valued Measures -- Chapter 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 |⋅|_{ } -- Chapter 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 -- Chapter 4. Dilations of Maps -- 4.1. Algebraic Dilations -- 4.2. The Commutative Case -- 4.3. The Noncommutative Case -- Chapter 5. Examples -- Bibliography.
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Intro -- Contents -- Introduction -- Chapter 1. Preliminaries -- 1.1. Frames -- 1.2. Operator-valued Measures -- Chapter 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 |⋅|_{ } -- Chapter 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 -- Chapter 4. Dilations of Maps -- 4.1. Algebraic Dilations -- 4.2. The Commutative Case -- 4.3. The Noncommutative Case -- Chapter 5. Examples -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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