BIFLATNESS AND BIPROJECTIVITY OF TRIANGULAR BANACH ALGEBRAS

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MEDGHALCHI A.A.R.; SATARI M.H.

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ISSN: 2588-4824

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Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2008 | Volume:34 | Issue:2 Page(s): 115-120

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Title

BIFLATNESS AND BIPROJECTIVITY OF TRIANGULAR BANACH ALGEBRAS

Author(s)

MEDGHALCHI A.A.R. | SATARI M.H. | Issue Writer Certificate

Keywords

AMENABILITY

TRIANGULAR BANACH ALGEBRA

BIPROJECTIVE

BIFLAT

Abstract

Abstract. Let A and B be Banach algebras and M be a Banach (A,B)-module. Then, T =[OA BM] equipped with the usual 2x 2 matrix operations, obvious internal module actions and the Banach space norm || [oa bm] || = ||a||A + ||m||m + ||b||B is a TRIANGULAR BANACH ALGEBRA. We show that T is BIFLAT if and only if A and B are BIFLAT and M = 0, where M is an essential (A,B)-module, that is, AM-= M= MB-. A similar result is obtained on biprojectivity.

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APA: Copy

MEDGHALCHI, A.A.R., & SATARI, M.H.. (2008). BIFLATNESS AND BIPROJECTIVITY OF TRIANGULAR BANACH ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 34(2), 115-120. SID. https://sid.ir/paper/552447/en

Vancouver: Copy

MEDGHALCHI A.A.R., SATARI M.H.. BIFLATNESS AND BIPROJECTIVITY OF TRIANGULAR BANACH ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2008;34(2):115-120. Available from: https://sid.ir/paper/552447/en

IEEE: Copy

A.A.R. MEDGHALCHI, and M.H. SATARI, “BIFLATNESS AND BIPROJECTIVITY OF TRIANGULAR BANACH ALGEBRAS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 34, no. 2, pp. 115–120, 2008, [Online]. Available: https://sid.ir/paper/552447/en

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