Displaying similar documents to “Compactness properties of a locally compact group and analytic semigroups in the group algebra.”

On the growth of analytic semigroups along vertical lines

José Galé, Thomas Ransford (2000)

Studia Mathematica

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We construct two Banach algebras, one which contains analytic semigroups ( a z ) R e z > 0 such that | a 1 + i y | → ∞ arbitrarily slowly as | y | → ∞ , the other which contains ones such that | a 1 + i y | → ∞ arbitrarily fast

Almost periodic and strongly stable semigroups of operators

Vũ Phóng (1997)

Banach Center Publications

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This paper is chiefly a survey of results obtained in recent years on the asymptotic behaviour of semigroups of bounded linear operators on a Banach space. From our general point of view, discrete families of operators T n : n = 0 , 1 , . . . on a Banach space X (discrete one-parameter semigroups), one-parameter C 0 -semigroups T ( t ) : t ≥ 0 on X (strongly continuous one-parameter semigroups), are particular cases of representations of topological abelian semigroups. Namely, given a topological abelian semigroup S, a family...

Analyticity for some degenerate one-dimensional evolution equations

G. Metafune (1998)

Studia Mathematica

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We study the analyticity of the semigroups generated by some degenerate second order differential operators in the space C([α,β]), where [α,β] is a bounded real interval. The asymptotic behaviour and regularity with respect to the space variable are also investigated.