Certain types of linear operators on probabilistic Hilbert space

  • Authors

    • Rana Al-Muttalibi Master degree- University of Baghdad
    • Radhi M.A Ali Assist. Prof
    2015-05-24
    https://doi.org/10.14419/gjma.v3i2.4664
  • Bounded Operators, Linear Operators, Mathematical Expectation, Probabilistic Hilbert Space, Self-Adjoint Operator.

  • The purpose of this paper is to introduce some definitions, properties and basic results that show the relation between F-bounded of linear operator in probabilistic Hilbert space and bounded operator in norm. In the paper, we prove that the adjoint operator in probabilistic Hilbert space is bounded. The notion of the continuous operators in probabilistic Hilbert space and some basic results are given. In addition, we note that every operator in probabilistic real Hilbert space is a self-adjoint Operator.

  • References

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  • How to Cite

    Al-Muttalibi, R., & M.A Ali, R. (2015). Certain types of linear operators on probabilistic Hilbert space. Global Journal of Mathematical Analysis, 3(2), 81-88. https://doi.org/10.14419/gjma.v3i2.4664