ABSTRACT RANDOM LINEAR OPERATORS ON PROBABILISTIC UNITARY SPACES

ABSTRACT RANDOM LINEAR OPERATORS ON PROBABILISTIC UNITARY SPACES

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 \cite{Thang2012}. The representation theorem for abstract random bounded linear operators and some res...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2016, 53(2), , pp.347-362
Hauptverfasser: Tran, Xuan Quy, Dang, Hung Thang, Nguyen, Thinh
Format: Artikel
Sprache:eng
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수학
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Zusammenfassung: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 \cite{Thang2012}. The representation theorem for abstract random bounded linear operators and some results on the adjoint of abstract random linear operators are given. KCI Citation Count: 3
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.2016.53.2.347