Operator Valued Measures Dilations and the Theory of Frames is popular PDF and ePub book, written by Deguang Han in 2014-04-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Operator Valued Measures Dilations and the Theory of Frames can be Read Online from any device for your convenience.
Operator Valued Measures Dilations and the Theory of Frames Book PDF Summary
The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely related to bounded linear maps on abelian von Neumann algebras, and some of their results include new dilation results for bounded linear maps that are not necessarily completely bounded, and from domain algebras that are not necessarily abelian. In the non-cb case the dilation space often needs to be a Banach space. They give applications to both the discrete and the continuous frame theory. There are natural associations between the theory of frames (including continuous frames and framings), the theory of operator-valued measures on sigma-algebras of sets, and the theory of continuous linear maps between -algebras. In this connection frame theory itself is identified with the special case in which the domain algebra for the maps is an abelian von Neumann algebra and the map is normal (i.e. ultraweakly, or weakly, or w*) continuous.
Detail Book of Operator Valued Measures Dilations and the Theory of Frames PDF
- Author : Deguang Han
- Release : 07 April 2014
- Publisher : American Mathematical Soc.
- ISBN : 9780821891728
- Genre : Mathematics
- Total Page : 98 pages
- Language : English
- PDF File Size : 9,6 Mb
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