Weak measurability and characterizations of risk

1999 ◽  
Vol 13 (3) ◽  
pp. 541-560 ◽  
Author(s):  
M. Ali Khan ◽  
Yeneng Sun
Keyword(s):  
Weak Measurability

scholarly journals On weak measurability in functional spaces

1962 ◽  
Vol 1 (2) ◽  
pp. 203-224 ◽  
Author(s):  
Shigetake Matsuura
Keyword(s):  
Weak Measurability

scholarly journals On the Adjoint of a Strongly Continuous Semigroup

2008 ◽  
Vol 2008 ◽  
pp. 1-11 ◽  
Author(s):  
Diómedes Bárcenas ◽  
Luis Gerardo Mármol
Keyword(s):  
Banach Spaces ◽  
Continuous Semigroup ◽  
Isomorphic Copy ◽  
Strongly Continuous Semigroup ◽  
Strong Continuity ◽  
Strongly Continuous Semigroups ◽  
Vector Integration ◽  
Finite Dimensional ◽  
Weak Measurability

Using some techniques from vector integration, we prove the weak measurability of the adjoint of strongly continuous semigroups which factor through Banach spaces without isomorphic copy ofl1; we also prove the strong continuity away from zero of the adjoint if the semigroup factors through Grothendieck spaces. These results are used, in particular, to characterize the space of strong continuity of{T**(t)}t≥0, which, in addition, is also characterized for abstractL- andM-spaces. As a corollary, it is proven that abstractL-spaces with no copy ofl1are finite-dimensional.

scholarly journals Saccharinity

2011 ◽  
Vol 76 (4) ◽  
pp. 1153-1183 ◽  
Author(s):  
Jakob Kellner ◽  
Saharon Shelah
Keyword(s):  
New Method ◽  
Linear Orders ◽  
Definable Sets ◽  
Weak Measurability

AbstractWe present a method to iterate finitely splitting lim-sup tree forcings along non-wellfounded linear orders. As an application, we introduce a new method to force (weak) measurability of all definable sets with respect to a certain (non-ccc) ideal.

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