ABSTRACT RANDOM LINEAR OPERATORS ON PROBABILISTIC UNITARY SPACES

Title & Authors
ABSTRACT RANDOM LINEAR OPERATORS ON PROBABILISTIC UNITARY SPACES
Tran, Xuan Quy; Dang, Hung Thang; Nguyen, Thinh;

Abstract
In this paper, we are concerned with abstract random linear operators on probabilistic unitary spaces which are a generalization of generalized random linear operators on a Hilbert space defined in [25]. The representation theorem for abstract random bounded linear operators and some results on the adjoint of abstract random linear operators are given.
Keywords
probabilistic linear space;probabilistic unitary space;probabilistic Hilbert space;abstract random linear operator;abstract random bounded linear operator;abstract random symmetric operator;abstract random self-adjoint operator;abstract random normal operator;
Language
English
Cited by
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