On symmetric stable measures with discrete spectral measure on banach spaces

1980 ◽  
pp. 286-301 ◽  
Author(s):  
Dang-Hung Thang ◽  
Nquyen Zui Tien
Keyword(s):  
Banach Spaces ◽  
Spectral Measure ◽  
Stable Measures

A Note on Classes of BANACH Spaces Related to Stable Measures

1984 ◽  
Vol 115 (1) ◽  
pp. 189-199
Author(s):  
Peter Mathé
Keyword(s):  
Banach Spaces ◽  
Stable Measures

scholarly journals Tensor product of stable measures in Banach spaces of stable type

1987 ◽  
Vol 53 (2) ◽  
pp. 301-307
Author(s):  
Andrzej Mądrecki
Keyword(s):  
Tensor Product ◽  
Banach Spaces ◽  
Stable Type ◽  
Stable Measures

A family of stable measures in some Banach spaces

1980 ◽  
Vol 20 (4) ◽  
pp. 326-334
Author(s):  
A. Račkauskas
Keyword(s):  
Banach Spaces ◽  
Stable Measures

scholarly journals Fusions of stable measures in Banach spaces

1997 ◽  
Vol 42 (4) ◽  
pp. 772-782
Author(s):  
Uluğ Capar ◽  
Uluğ Capar
Keyword(s):  
Banach Spaces ◽  
Stable Measures

Fusions of Stable Measures in Banach Spaces

1998 ◽  
Vol 42 (4) ◽  
pp. 580-588
Author(s):  
U. Capar
Keyword(s):  
Banach Spaces ◽  
Stable Measures

A note on stable measures in Banach spaces

1980 ◽  
Vol 19 (2) ◽  
pp. 267-270 ◽  
Author(s):  
A. Rackauskas
Keyword(s):  
Banach Spaces ◽  
Stable Measures

scholarly journals Spectral measures on spaces not containing l∞

1981 ◽  
Vol 24 (1) ◽  
pp. 41-45 ◽  
Author(s):  
T. A. Gillespie
Keyword(s):  
Banach Space ◽  
Boolean Algebra ◽  
Banach Spaces ◽  
Spectral Measure ◽  
Dual Space ◽  
Boolean Algebras ◽  
Special Role ◽  
Spectral Measures ◽  
Sequential Completeness ◽  
Algebra Of Sets

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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