Properties of derivations on some convolution algebras

Thomas Pedersen

Displaying similar documents to “Properties of derivations on some convolution algebras”

A new extension of Komlós' theorem in infinite dimensions. Application: Weak compactness in $L_{X}^{1}$ .

Saadoune, M. (1998)

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Matsumoto, Toshiko, Watanabe, Seiji (2000)

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Higher-dimensional weak amenability

B. Johnson (1997)

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Bade, Curtis and Dales have introduced the idea of weak amenability. A commutative Banach algebra A is weakly amenable if there are no non-zero continuous derivations from A to A*. We extend this by defining an alternating n-derivation to be an alternating n-linear map from A to A* which is a derivation in each of its variables. Then we say that A is n-dimensionally weakly amenable if there are no non-zero continuous alternating n-derivations on A. Alternating n-derivations are the same...

Potential theory of quasiminimizers.

Kinnunen, Juha, Martio, Olli (2003)

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Agarwal, Ravi P., O&#039;Regan, Donal, Liu, Xinzhi (2005)

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Generalizations of Hölder's inequality.

Cheung, Wing-Sum (2001)

International Journal of Mathematics and Mathematical Sciences

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Derivations into iterated duals of Banach algebras

H. Dales, F. Ghahramani, N. Grønbæek (1998)

Studia Mathematica

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We introduce two new notions of amenability for a Banach algebra A. The algebra A is n-weakly amenable (for n ∈ ℕ) if the first continuous cohomology group of A with coefficients in the n th dual space $A^{(n)}$ is zero; i.e., $ℋ^{1} (A, A^{(n)}) = 0$ . Further, A is permanently weakly amenable if A is n-weakly amenable for each n ∈ ℕ. We begin by examining the relations between m-weak amenability and n-weak amenability for distinct m,n ∈ ℕ. We then examine when Banach algebras in various classes are n-weakly amenable;...

A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations

Jiří Vala (1999)

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The aim of this paper is to demonstrate how the variational equations from can be formulated and solved in some abstract Banach spaces without any a priori construction of special linearization schemes. This should be useful e.g. in the analysis of heat conduction problems and modelling of flow in porous media.

Sections induced from weakly sequentially complete spaces

Charles Dunkl, Donald Ramirez (1973)

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Dichotomies for $𝐂_{0} (X)$ and $𝐂_{b} (X)$ spaces

Szymon Głąb, Filip Strobin (2013)

Czechoslovak Mathematical Journal

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Jachymski showed that the set $\{(x, y) \in 𝐜_{0} \times 𝐜_{0} : {(\sum_{i = 1}^{n} α (i) x (i) y (i))}_{n = 1}^{\infty} is bounded\}$ is either a meager subset of $𝐜_{0} \times 𝐜_{0}$ or is equal to $𝐜_{0} \times 𝐜_{0}$ . In the paper we generalize this result by considering more general spaces than $𝐜_{0}$ , namely $𝐂_{0} (X)$ , the space of all continuous functions which vanish at infinity, and $𝐂_{b} (X)$ , the space of all continuous bounded functions. Moreover, we replace the meagerness by $σ$ -porosity.