Displaying similar documents to “Some density theorems for Toeplitz operators on Bergman spaces”

Weak sequential completeness of sequence spaces.

Charles Swartz (1992)

Collectanea Mathematica

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Köthe and Toeplitz introduced the theory of sequence spaces and established many of the basic properties of sequence spaces by using methods of classical analysis. Later many of these same properties of sequence spaces were reestablished by using soft proofs of functional analysis. In this note we would like to point out that an improved version of a classical lemma of Schur due to Hahn can be used to give very short proofs of two of the weak sequential completeness results of Köthe...

Toeplitz operators in the commutant of a composition operator

Bruce Cload (1999)

Studia Mathematica

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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

Spectral approximation for Segal-Bargmann space Toeplitz operators

Albrecht Böttcher, Hartmut Wolf (1997)

Banach Center Publications

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Let A stand for a Toeplitz operator with a continuous symbol on the Bergman space of the polydisk N or on the Segal-Bargmann space over ℂ N . Even in the case N = 1, the spectrum Λ(A) of A is available only in a few very special situations. One approach to gaining information about this spectrum is based on replacing A by a large “finite section”, that is, by the compression A n of A to the linear span of the monomials z 1 k 1 . . . z N k N : 0 ≤ k j ≤ n . Unfortunately, in general the spectrum of A n does not mimic the spectrum...