MORPHISMS ON HILBERT MODULES OVER LOCALLY C*-ALGEBRAS

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HOSSEINI FARAHI M.; HASSANI M.

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Seminar Paper

Paper Information

Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Year:2014 | Issue:21

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Title

MORPHISMS ON HILBERT MODULES OVER LOCALLY C*-ALGEBRAS

Author(s)

HOSSEINI FARAHI M. | HASSANI M. | Issue Writer Certificate

Keywords

LOCALLY C* -ALGEBRA

HILBERT MODULE OVER LOCALLY C* -ALGEBRA

NONDEGENERATE *-MORPHISM

Abstract

LET A, B, C BE LOCALLY C*-ALGEBRAS SUCH THAT A IS AN IDEAL IN B AND LET E BE A HILBERT C-MODULE. WE SHOW THAT EVERY NONDEGENERATE CONTINUOUS * -MORPHISM Φ: A ®.LC(E) CAN BE EXTENDED UNIQUELY TO A CONTINUOUS * -MORPHISM `Φ: B ®LC (E).

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APA: Copy

HOSSEINI FARAHI, M., & HASSANI, M.. (). . . SID. https://sid.ir/paper/937181/en

Vancouver: Copy

HOSSEINI FARAHI M., HASSANI M.. . . Available from: https://sid.ir/paper/937181/en

IEEE: Copy