TY  - BOOK
AU  - Han,Deguang
AU  - Larson,David R.
AU  - Liu,Bei
AU  - Liu,Rui
TI  - Operator-valued measures, dilations, and the theory of frames
T2  - Memoirs of the American Mathematical Society
SN  - 9780821891728 (pbk. : acidfree paper)
U1  - 510 23
PY  - 2014///
CY  - Providence
PB  - American Mathematical Society
KW  - Vector-valued measures
KW  - Operator spaces
KW  - Von Neumann algebras
KW  - Operator theory
N1  - "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
ER  -