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Information Seminar Paper

Title

UEB-TOPOLOGY ON THE NORM-STRICT BIDUAL OF BANACH ALGEBRAS

Author(s)

JABBARI A.

Pages

  -

Abstract

 FOR A BANACH ALGEBRA A THE STRICT TOPOLOGY ON A IS DEFINED AS THE LOCALLY CONVEX TOPOLOGY ON A INDUCED BY THE FAMILY OF SEMINORMS {LA, A Î A}, WHERE LA (B) =||AB||, FOR ALL B 2 A. BY THE NORM-STRICT BIDUAL OF A WE MEAN THE NORM DUAL OF THE SPACE (A,B) *. IN THIS PAPER, AMONG OTHER THINGS, WE INVESTIGATE THE CONTINUITY PROPERTIES OF THE PRODUCT ON ((A,B)*,||.||) *, FOR SOME SPECIAL BANACH ALGEBRAS. IN PARTICULAR, GENERALIZING SOME RESULTS OF M. NEUFANG, WE SHOW THAT IF B IS A NORM BOUNDED SUBSET OF<A*A>, AND IFM0 Î RM (A), THE RIGHT MULTIPLIER ALGEBRA OF A, AND N0 ÎB, THEN THE MAPPING (M, N)®M. N FROM< A*A>´B INTO<A*A>IS JOINTLY CONTINUOUS AT (M0,N0) IN THE UEB- TOPOLOGY, THAT IS THE TOPOLOGY OF UNIFORM CONVERGENCE ON EQUICONTINUOUS BOUNDED SUBSETS OF<A*A>.

Cites

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  • References

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  • Cite

    APA: Copy

    JABBARI, A.. (2017). UEB-TOPOLOGY ON THE NORM-STRICT BIDUAL OF BANACH ALGEBRAS. SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS. SID. https://sid.ir/paper/940006/en

    Vancouver: Copy

    JABBARI A.. UEB-TOPOLOGY ON THE NORM-STRICT BIDUAL OF BANACH ALGEBRAS. 2017. Available from: https://sid.ir/paper/940006/en

    IEEE: Copy

    A. JABBARI, “UEB-TOPOLOGY ON THE NORM-STRICT BIDUAL OF BANACH ALGEBRAS,” presented at the SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS. 2017, [Online]. Available: https://sid.ir/paper/940006/en

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