Martingale and integral transforms of banach space valued functions

Author(s):  
Jose L. Rubio de Francia



1984 ◽  
Vol 96 (1) ◽  
pp. 143-149 ◽  
Author(s):  
W. Ricker

A problem of fundamental importance in Spectral Theory consists of finding criteria for an operator to be of scalar-type in the sense of N. Dunford [1]. One relatively general approach in determining such criteria is based on the method of integral transforms (see for example [4], [5], [6], [11], [12]). For example, if X is a Banach space and T is a continuous linear operator on X, then the group {eitT; t real} exists. As noted by several authors (e.g. [4], [6]), this group can then be effectively used for analysing the operator T.



1990 ◽  
Vol 10 (3) ◽  
pp. 327-343 ◽  
Author(s):  
Qiyuan Na


2012 ◽  
Vol 112 (1) ◽  
pp. 21-35 ◽  
Author(s):  
Sung Guen Kim
Keyword(s):  




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