TY  - BOOK
AU  - Han,Deguang
AU  - Larson,David R.
AU  - Liu,Bei
AU  - Liu,Ruifang
TI  - Operator-Valued Measures, Dilations, and the Theory of Frames
T2  - Memoirs of the American Mathematical Society
SN  - 9781470415297
AV  - QA325 -- .H36 2014eb 
U1  - 512/.556 
PY  - 2014///
CY  - Providence
PB  - American Mathematical Society
KW  - Vector-valued measures
KW  - Operator spaces
KW  - Von Neumann algebras
KW  - Operator theory
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114248
ER  -