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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 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.
Document ID
19880006154
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Miamee, A. G.
(Hampton Inst. VA, United States)
Date Acquired
September 5, 2013
Publication Date
January 1, 1988
Subject Category
Numerical Analysis
Report/Patent Number
NAS 1.26:182388
NASA-CR-182388
Accession Number
88N15536
Funding Number(s)
CONTRACT_GRANT: NAG1-768
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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