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On pseudo-amenability of C(X,A) for norm irregular A

U.O. ADIELE|O.T. MEWOMO
장전수학회 (Jangjeon Mathematical Society)|2022.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제25권 제1호|pp. 35-41|DOI 10.17777/pjms.2022.25.1.004

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참고문헌

키워드

Compact Hausdorff spaceBanach algebrapseudo-amenabilityapproximate diagonalnorm irregular
주제분류수학

초록

Let X be a compact Hausdorspace, we show that for a norm irregular Banach algebra A with a bounded approximate identity, if A has an aproximate diagonal which is bounded with respect to the multiplier norm on A^⊗A, then C(X;A) has an approximate diagonal.

Abstract

Let X be a compact Hausdorspace, we show that for a norm irregular Banach algebra A with a bounded approximate identity, if A has an aproximate diagonal which is bounded with respect to the multiplier norm on A^⊗A, then C(X;A) has an approximate diagonal.

참고문헌 (18)

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관련 논문AI추천

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