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Information Journal Paper

Title

POSITIVITY OF OPERATOR-MATRICES OF HUA-TYPE

Author(s)

ANDO T. | Issue Writer Certificate 

Pages

  1-8

Abstract

 Let Aj (j = 1, 2, . . . , n) be STRICT CONTRACTIONs on a Hilbert space. We study an n × n OPERATOR-MATRIX:Hn(A1,A2, . . . ,An) = [(I- Aj*Ai)-1]ni,j=1.For the case n = 2, Hua [Inequalities involving determinants, Acta Math. Sinica, 5 (1955), 463–470 (in Chinese)] proved POSITIVITY, i.e., positive semidefiniteness of H2(A1,A2). This is, however, not always true for n = 3. First we generalize a known condition which guarantees POSITIVITY of Hn. Our main result is that positively of Hn is preserved under the operator Möbius map of the open unit disc D of STRICT CONTRACTIONs.

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    APA: Copy

    ANDO, T.. (2008). POSITIVITY OF OPERATOR-MATRICES OF HUA-TYPE. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2(2), 1-8. SID. https://sid.ir/paper/316871/en

    Vancouver: Copy

    ANDO T.. POSITIVITY OF OPERATOR-MATRICES OF HUA-TYPE. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2008;2(2):1-8. Available from: https://sid.ir/paper/316871/en

    IEEE: Copy

    T. ANDO, “POSITIVITY OF OPERATOR-MATRICES OF HUA-TYPE,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 2, no. 2, pp. 1–8, 2008, [Online]. Available: https://sid.ir/paper/316871/en

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    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
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