Weakly Periodic Sequences of Bounded Linear Transformations: a Spectral Characterization |
| |
| Authors: | Soltani A R Shishebor Z |
| |
| Institution: | (1) Center for Theoretical Physics and Mathematics AEOI, P.O. Box 11365-8486, Tehran, Iran;(2) Department of Statistics, Shiraz University, Shiraz, 71454, Iran |
| |
| Abstract: | Let X and Y be two Hilbert spaces, and
the space of bounded linear transformations from X into Y. Let {A
 } 
be a weakly periodic sequence of period T. Spectral theory of weakly periodic sequences in a Hilbert space is studied by H. L. Hurd and V. Mandrekar (1991). In this work we proceed further to characterize {A
n} by a positive measure  and a number T of
-valued functions a
0, . . . ,a
T–1; in the spectral form
, where
and  is an
-valued Borel set function on 0, 2 ) such that
 |
| |
| Keywords: | Hilbert space bounded linear operators weakly periodic sequences spectral representation |
| 本文献已被 SpringerLink 等数据库收录！ |
|
