Support and seminorm integrability theorems for r-semistable probability measures on LCTVS

1980 ◽  
pp. 179-195 ◽  
Author(s):  
Donald Louie ◽  
Balram S. Rajput
Keyword(s):  
Probability Measures ◽  
Semistable Probability

scholarly journals Operator semistable probability measures on a Hilbert space: Corrigenda

1980 ◽  
Vol 22 (3) ◽  
pp. 479-480
Author(s):  
R.G. Laha ◽  
V.K. Rohatgi
Keyword(s):  
Hilbert Space ◽  
Probability Measures ◽  
Semistable Probability

A faulty typescript of [2] was, regrettably, submitted. The following changes should be made:Page 398, line 7: replace A є G with A є L.Page 398, line 12: replace A є G with A є L.

STABLE AND SEMISTABLE PROBABILITY MEASURES ON CONVEX CONE

2014 ◽  
Vol 98 (3) ◽  
pp. 390-406
Author(s):  
NAM BUI QUANG ◽  
PHUC HO DANG
Keyword(s):  
Probability Measure ◽  
Convex Cone ◽  
Closed Subgroup ◽  
Multiplicative Group ◽  
Domain Of Attraction ◽  
Neutral Element ◽  
Probability Measures ◽  
Semistable Probability

The study concerns semistability and stability of probability measures on a convex cone, showing that the set$S(\boldsymbol{{\it\mu}})$of all positive numbers$t>0$such that a given probability measure$\boldsymbol{{\it\mu}}$is$t$-semistable establishes a closed subgroup of the multiplicative group$R^{+}$; semistability and stability exponents of probability measures are positive numbers if and only if the neutral element of the convex cone coincides with the origin; a probability measure is (semi)stable if and only if its domain of (semi-)attraction is not empty; and the domain of attraction of a given stable probability measure coincides with its domain of semi-attraction.

scholarly journals Operator semistable probability measures on a Hilbert space

1980 ◽  
Vol 22 (3) ◽  
pp. 397-406 ◽  
Author(s):  
R.G. Laha ◽  
V.K. Rohatgi
Keyword(s):  
Hilbert Space ◽  
Separable Hilbert Space ◽  
Probability Measures ◽  
Real Separable Hilbert Space ◽  
Semistable Probability

A characterization of the class of operator semistable probability measures on a real separable Hilbert space is given.

LIFTING THE FUNCTOR ITO THE CATEGORY OF UNIFORM SPACES

2020 ◽  
Vol 4 (1) ◽  
pp. 29-39
Author(s):  
Dilrabo Eshkobilova ◽  
Keyword(s):  
Compact Support ◽  
Probability Measures ◽  
Uniform Spaces ◽  
Continuous Maps ◽  
Uniformly Continuous

Uniform properties of the functor Iof idempotent probability measures with compact support are studied. It is proved that this functor can be lifted to the category Unif of uniform spaces and uniformly continuous maps

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