On (Co)homology of triangular Banach algebras

Mohammad Sal Moslehian

Banach Center Publications, Tome 68 (2005), p. 271-276 / Harvested from The Polish Digital Mathematics Library

Résumé

Suppose that A and B are unital Banach algebras with units $1_{A}$ and $1_{B}$ , respectively, M is a unital Banach A,B-module, $= [\begin{matrix} A & M \\ 0 & B \end{matrix}]$ is the triangular Banach algebra, X is a unital -bimodule, $X_{A A} = 1_{A} X 1_{A}$ , $X_{B B} = 1_{B} X 1_{B}$ , $X_{A B} = 1_{A} X 1_{B}$ and $X_{B A} = 1_{B} X 1_{A}$ . Applying two nice long exact sequences related to A, B, , X, $X_{A A}$ , $X_{B B}$ , $X_{A B}$ and $X_{B A}$ we establish some results on (co)homology of triangular Banach algebras.

Publié le : 2005-01-01

Zbl 1082.46037

EUDML-ID : urn:eudml:doc:282114

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     author = {Mohammad Sal Moslehian},
     title = {On (Co)homology of triangular Banach algebras},
     journal = {Banach Center Publications},
     volume = {68},
     year = {2005},
     pages = {271-276},
     zbl = {1082.46037},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-22}
}

Mohammad Sal Moslehian. On (Co)homology of triangular Banach algebras. Banach Center Publications, Tome 68 (2005) pp. 271-276. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-22/