Measurable Selections

1998 ◽  
pp. 215-231
Author(s):  
Dušan Repovš ◽  
Pavel Vladimirovič Semenov
Keyword(s):  
Measurable Selections

scholarly journals Complex extreme measurable selections

1995 ◽  
Vol 58 (2) ◽  
pp. 222-231
Author(s):  
Douglas Mupasiri
Keyword(s):  
Banach Space ◽  
Unit Ball ◽  
Extreme Point ◽  
Measure Space ◽  
Sufficient Conditions ◽  
Complex Banach Space ◽  
Closed Unit Ball ◽  
Measurable Selections ◽  
Necessary And Sufficient

AbstractWe give a characterization of complex extreme measurable selections for a suitable set-valued map. We use this result to obtain necessary and sufficient conditions for a function to be a complex extreme point of the closed unit ball of Lp (ω, Σ, ν X), where (ω, σ, ν) is any positive, complete measure space, X is a separable complex Banach space, and 0 < p < ∞.

scholarly journals Omega-Polish spaces and measurable selections

1977 ◽  
Vol 23 (3) ◽  
pp. 257-265 ◽  
Author(s):  
Le Van Tu
Keyword(s):  
Large Class ◽  
Banach Spaces ◽  
Polish Space ◽  
Measurable Space ◽  
Selection Theorem ◽  
Polish Spaces ◽  
Measurable Selections

AbstractIn this paper, the author introduces the notion of Ω-Polish spaces (which includes the Polish spaces and a large class of Banach spaces) and extends Castaing's selection theorem (1966) for closed-valued measurable thin multifunctions from a measurable space into an Ω-Polish space. He also extends Robertson's theorem (1974) in the same way.

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