Spectral Dilation of L(b, H)-Valued Measures and Its Application to Stationary Dilation for Banach Space Valued Processes

Spectral Dilation of L(b, H)-Valued Measures and Its Application to Stationary Dilation for Banach Space Valued Processes

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Publisher's Synopsis

Let B be a Banach space and H and K two Hilbert spaces. The spectral dilation of L(B, H)-valued measures is studied and it is shown that the recent results of Makagon and Salehi (1986) and Rosenberg (1982) on the dilation of L(K, H)-valued measures can be extended to hold for the general Banach space setting of L(B, H)-valued measures. These L(B, H)-valued measures are closely connected to the Banach space valued processes. This connection is recalled and as application of spectral dilation of L(B, H)-valued measures the well known stationary dilation results for scalar valued processes is extended to the case of Banach space valued processes. Miamee, A. G. Unspecified Center NAG

Book information

ISBN: 9781729009666
Publisher: Amazon Digital Services LLC - KDP Print US
Imprint: Independently Published
Pub date:
Language: English
Number of pages: 28
Weight: 91g
Height: 279mm
Width: 216mm
Spine width: 2mm