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math.FA2003
Bounded Hochschild cohomology of Banach algebras with a matrix-like structure
Niels Grønbæk
Let B be a unital Banach algebra. A projection in B which is equivalent to the identitity may give rise to a matrix-like structure on any two-sided ideal A in B. In this set-up we…
math.FA2003
Self-induced Banach algebras
Niels Grønbæk
A Banach algebra A is self-induced if the multiplication is an isomorphism from the A-balanced projective tensor-square of A to A. The class of self-induced Banach algebras is a na…
math.FA2003
Factorization and weak amenability of A(X)
Niels Grønbæk
We investigate weak amenability of the Banach algebra A(X) of approximable operators on a Banach space X and its relation to factorization properties of operators in A(X). We show…