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

By National Aeronautics and Space Administration

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

• Format: Paperback
• Language: English
• ISBN: 1729009662
• ISBN13: 9781729009666
• Release Date: January 1
• Publisher: Independently Published
• Length: 28 Pages
• Weight: 0.20 lbs.
• Dimensions: 0.1" x 8.5" x 11.0"