On symmetric stable measures with discrete spectral measure on banach spaces

Author(s):  
Dang-Hung Thang ◽  
Nquyen Zui Tien

Author(s):  
Nguyen Zui Tien ◽  
Aleksander Weron


1984 ◽  
Vol 115 (1) ◽  
pp. 189-199
Author(s):  
Peter Mathé


1987 ◽  
Vol 53 (2) ◽  
pp. 301-307
Author(s):  
Andrzej Mądrecki


1980 ◽  
Vol 20 (4) ◽  
pp. 326-334
Author(s):  
A. Račkauskas




1997 ◽  
Vol 42 (4) ◽  
pp. 772-782
Author(s):  
Uluğ Capar ◽  
Uluğ Capar


1998 ◽  
Vol 42 (4) ◽  
pp. 580-588
Author(s):  
U. Capar


1980 ◽  
Vol 19 (2) ◽  
pp. 267-270 ◽  
Author(s):  
A. Rackauskas


1981 ◽  
Vol 24 (1) ◽  
pp. 41-45 ◽  
Author(s):  
T. A. Gillespie

The property of weak sequential completeness plays a special role in the theory of Boolean algebras of projections and spectral measures on Banach spaces. For instance, if X is a weakly sequentially complete Banach space, then(i) every strongly closed bounded Boolean algebra of projections on X is complete (3, XVII.3.8, p. 2201); from which it follows easily that(ii) every spectral measure on X of arbitary class (Σ, Γ), where Σ is a σ-algebra of sets and Γ is a total subset of the dual space of X, is strongly countably additive; and hence that(iii) every prespectral operator on X is spectral.(See also (1, Theorem 6.11, p. 165) for (iii).)





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