ON MODULE EXTENSION BANACH ALGEBRAS

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MEDGHALCHI A.R.; POURMAHMOOD AGHABABA H.

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Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:4 Page(s): 171-183

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Information Journal Paper

Title

ON MODULE EXTENSION BANACH ALGEBRAS

Author(s)

MEDGHALCHI A.R. | POURMAHMOOD AGHABABA H. | Issue Writer Certificate

Keywords

MODULE EXTENSION BANACH ALGEBRAS

BIFLATNESS

BIPROJECTIVITY

WEAK AMENABILITY

AUTOMATIC CONTINUITY

Abstract

Let A be a Banach algebra and X be a Banach A-bimodule. Then S = AÅX, the l1-direct sum of A and X becomes a module extension Banach algebra when equipped with the algebra product (a, x).(a’, x’) = (aa’, ax’+xa’). In this paper, we investigate BIFLATNESS and BIPROJECTIVITY for these Banach algebras. We also discuss on AUTOMATIC CONTINUITY of derivations on S = A Å A.

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APA: Copy

MEDGHALCHI, A.R., & POURMAHMOOD AGHABABA, H.. (2011). ON MODULE EXTENSION BANACH ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(4), 171-183. SID. https://sid.ir/paper/571891/en

Vancouver: Copy

MEDGHALCHI A.R., POURMAHMOOD AGHABABA H.. ON MODULE EXTENSION BANACH ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(4):171-183. Available from: https://sid.ir/paper/571891/en

IEEE: Copy

A.R. MEDGHALCHI, and H. POURMAHMOOD AGHABABA, “ON MODULE EXTENSION BANACH ALGEBRAS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 4, pp. 171–183, 2011, [Online]. Available: https://sid.ir/paper/571891/en

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