02684nam 2200601 450 991048022920332120170822144327.01-4704-1529-1(CKB)3710000000230212(EBL)3114248(SSID)ssj0001108987(PQKBManifestationID)11700781(PQKBTitleCode)TC0001108987(PQKBWorkID)11109220(PQKB)11209891(MiAaPQ)EBC3114248(PPN)195408608(EXLCZ)99371000000023021220150416h20132013 uy 0engur|n|---|||||txtccrOperator-valued measures, dilations, and the theory of frames /Deguang Han, David R. Larson, Bei Liu, Rui LiuProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (98 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 1075"May 2014, volume 229, number 1075 (second of 5 numbers)."0-8218-9172-3 Includes bibliographical references.""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 |â??|_{ }""; ""2.5. The Dual Space of the Minimal Dilation Space""; ""2.6. The Maximal Dilation Norm |â??|_{ }""; ""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""Memoirs of the American Mathematical Society ;Number 1075.Vector-valued measuresOperator spacesVon Neumann algebrasOperator theoryElectronic books.Vector-valued measures.Operator spaces.Von Neumann algebras.Operator theory.512/.556Han Deguang1959-311204MiAaPQMiAaPQMiAaPQBOOK9910480229203321Operator-valued measures, dilations, and the theory of frames2248010UNINA