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In this paper, we show that a matrix algebra $$\mathcal {LM}_{I}^{p}(\mathbb {C})$$ LM I p ( C ) is pseudo-contractible if and only if I is finite. In addition, for… Click to show full abstract
In this paper, we show that a matrix algebra $$\mathcal {LM}_{I}^{p}(\mathbb {C})$$ LM I p ( C ) is pseudo-contractible if and only if I is finite. In addition, for each non-empty set I , we show that $$\mathcal {LM}_{I}^{p}(\mathbb {C})$$ LM I p ( C ) is always pseudo-amenable. Amenability, approximate biprojectivity and approximate biflatness of upper triangular algebras with respect to $$\mathcal {LM}_{I}^{p}(\mathbb {C})$$ LM I p ( C ) are discussed here, where $$1\le p\le 2$$ 1 ≤ p ≤ 2 .
Keywords:
amenability;
mathcal mathbb;
classes ell;
generalized notions;
notions amenability;
amenability classes
Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2021
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Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2021
Link to full text (if available)
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recommendations!