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Spectral dilation of L(B,H)-valued measures and its application to stationary dilation for Banach space valued processesLet B be a Banach space and H and K to 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.
Document ID
19900062027
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Miamee, A. G.
(Hampton University VA, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Publication Information
Publication: Indiana University Mathematics Journal
Volume: 38
Issue: 4 19
ISSN: 0020-2518
Subject Category
Theoretical Mathematics
Accession Number
90A49082
Funding Number(s)
CONTRACT_GRANT: NAG1-768
Distribution Limits
Public
Copyright
Other

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