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Information Journal Paper

Title

ON THE DECOMPOSITION OF HILBERT SPACES

Pages

  1-7

Abstract

 A basic relation between NUMERICAL RANGE and DAVIS-WIELANDT SHELL of an operatorA acting on a Hilbert space with orthonormal basis  e= [ei|I ϵ I} and its conjugate A- which is introduced in this paper are obtained. The results are used to study the relation between point spectrum, approximate spectrum and residual spectrum of A and A-. A necessary and sufficient condition for A to be self-conjugate (A=A-) is given using a subgroup of H.

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    APA: Copy

    AFSHIN, H.R., & RANJBAR, M.A.. (2011). ON THE DECOMPOSITION OF HILBERT SPACES. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 6(2), 1-7. SID. https://sid.ir/paper/310323/en

    Vancouver: Copy

    AFSHIN H.R., RANJBAR M.A.. ON THE DECOMPOSITION OF HILBERT SPACES. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2011;6(2):1-7. Available from: https://sid.ir/paper/310323/en

    IEEE: Copy

    H.R. AFSHIN, and M.A. RANJBAR, “ON THE DECOMPOSITION OF HILBERT SPACES,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 6, no. 2, pp. 1–7, 2011, [Online]. Available: https://sid.ir/paper/310323/en

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