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Generalized random linear operators on a Hilbert space |
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| Abstract: | In this paper, we are concerned with generalized random linear operators on a separable Hilbert space. Generalized random linear bounded operators, generalized random linear normal operators and generalized random linear self-adjoint operators are defined and investigated. The spectral theorems for generalized random linear normal operators and generalized random linear self-adjoint operators are obtained. |
| Keywords: | random operator generalized bounded random operator generalized random normal operators generalized random self-adjoint operators random spectral measure |