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Record 4 of 53
Spectral dilation of L(B,H)-valued measures and its application to stationary dilation for Banach space valued processes
External Online Source: doi:10.1512/iumj.1989.38.38040
Author and Affiliation:
Miamee, A. G.(Hampton University, VA, United States)
Abstract: Let 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.
Publication Date: Jan 01, 1989
Document ID:
19900062027
(Acquired Nov 28, 1995)
Accession Number: 90A49082
Subject Category: THEORETICAL MATHEMATICS
Document Type: Journal Article
Publication Information: Indiana University Mathematics Journal (ISSN 0020-2518); 38; 4, 19; 841-860
Publisher Information: United States
Contract/Grant/Task Num: NAG1-768
Financial Sponsor: NASA; United States
Organization Source: Hampton Univ.; VA, United States
Description: 20p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: BANACH SPACE; SPECTRAL METHODS; STRETCHING; HILBERT SPACE; METRIC SPACE; OPERATORS (MATHEMATICS)
Imprint And Other Notes: Indiana University Mathematics Journal (ISSN 0020-2518), vol. 38, no. 4, 1989, p. 841-860. Previously announced in STAR as N88-15536.
Miscellaneous Notes: Previously announced in STAR as N88-155
Availability Source: Other Sources
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