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On Deddens΄s Theorem

S. Giotopoulos (1981)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

On derivations and crossed homomorphisms

Viktor Losert (2010)

Banach Center Publications

We discuss some results about derivations and crossed homomorphisms arising in the context of locally compact groups and their group algebras, in particular, L¹(G), the von Neumann algebra VN(G) and actions of G on related algebras. We answer a question of Dales, Ghahramani, Grønbæk, showing that L¹(G) is always permanently weakly amenable. Then we show that for some classes of groups (e.g. IN-groups) the homology of L¹(G) with coefficients in VN(G) is trivial. But this is no longer true, in general,...

On determination of eigenvalues and eigenvectors of selfadjoint operators

Josef Kolomý (1981)

Aplikace matematiky

Two simple methods for approximate determination of eigenvalues and eigenvectors of linear self-adjoint operators are considered in the following two cases: (i) lower-upper bound λ 1 of the spectrum σ ( A ) of A is an isolated point of σ ( A ) ; (ii) λ 1 (not necessarily an isolated point of σ ( A ) with finite multiplicity) is an eigenvalue of A .

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