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Théorie spectrale

H. Buchwalter, D. Tarral (1982)

Publications du Département de mathématiques (Lyon)

Time regularity and functions of the Volterra operator

Zoltán Léka (2014)

Studia Mathematica

Our aim is to prove that for any fixed 1/2 < α < 1 there exists a Hilbert space contraction T such that σ(T) = 1 and | | T n + 1 - T | | ( n 1 ) . This answers Zemánek’s question on the time regularity property.

Toeplitz operators in the commutant of a composition operator

Bruce Cload (1999)

Studia Mathematica

If ϕ is an analytic self-mapping of the unit disc D and if H 2 ( D ) is the Hardy-Hilbert space on D, the composition operator C ϕ on H 2 ( D ) is defined by C ϕ ( f ) = f ϕ . In this article, we consider which Toeplitz operators T f satisfy T f C ϕ = C ϕ T f

Toeplitz operators on Bergman spaces and Hardy multipliers

Wolfgang Lusky, Jari Taskinen (2011)

Studia Mathematica

We study Toeplitz operators T a with radial symbols in weighted Bergman spaces A μ p , 1 < p < ∞, on the disc. Using a decomposition of A μ p into finite-dimensional subspaces the operator T a can be considered as a coefficient multiplier. This leads to new results on boundedness of T a and also shows a connection with Hardy space multipliers. Using another method we also prove a necessary and sufficient condition for the boundedness of T a for a satisfying an assumption on the positivity of certain indefinite...

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