Invariant subspaces on multiply connected domains.

Ali Abkar; Hakan Hedenmalm

Displaying similar documents to “Invariant subspaces on multiply connected domains.”

On invariant subspaces for polynomially bounded operators

Junfeng Liu (2017)

Czechoslovak Mathematical Journal

Similarity:

We discuss the invariant subspace problem of polynomially bounded operators on a Banach space and obtain an invariant subspace theorem for polynomially bounded operators. At the same time, we state two open problems, which are relative propositions of this invariant subspace theorem. By means of the two relative propositions (if they are true), together with the result of this paper and the result of C. Ambrozie and V. Müller (2004) one can obtain an important conclusion that every polynomially...

Corrections to “Radial limits in co-invariant subspaces"

D. R. Georgijević (1987)

Matematički Vesnik

Similarity:

Generalized invariant subspaces for linear operators

Eberhard Gerlach (1972)

Studia Mathematica

Similarity:

A perturbation of Lomonosov's theorem

Peter Rosenthal (1982)

Banach Center Publications

Similarity:

Interior compact subspaces and differentiation in model subspaces.

Baranov, A.D. (2005)

Zapiski Nauchnykh Seminarov POMI

Similarity:

Operators on spaces of analytic functions

K. Seddighi (1994)

Studia Mathematica

Similarity:

Let $M_{z}$ be the operator of multiplication by z on a Banach space of functions analytic on a plane domain G. We say that $M_{z}$ is polynomially bounded if $∥ M_{p} ∥ \leq C ∥ p ∥_{G}$ for every polynomial p. We give necessary and sufficient conditions for $M_{z}$ to be polynomially bounded. We also characterize the finite-codimensional invariant subspaces and derive some spectral properties of the multiplication operator in case the underlying space is Hilbert.

An analogue in commutative harmonic analysis of the uniform bounded approximation property of Banach space

M. Bożejko, A. Pełczyński (1978-1979)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Similarity:

On translation invariant families of sets

John C. Morgan II (1975)

Colloquium Mathematicae

Similarity:

Distance formulae and invariant subspaces, with an application to localization of zeros of the Riemann $ζ$ -function

Nikolai Nikolski (1995)

Annales de l'institut Fourier

Similarity:

It is proved that a subspace of a holomorphic Hilbert space is completely determined by their distances to the reproducing kernels. A simple rule is established to localize common zeros of a subspace of the Hardy space of the unit disc. As an illustration we show a series of discs of the complex plan free of zeros of the Riemann $ζ$ -function.

Reducible representations of abelian groups

Aharon Atzmon (2001)

Annales de l’institut Fourier

Similarity:

A criterion for reducibility of certain representations of abelian groups is established. Among the applications of this criterion, we give a positive answer to the translation invariant subspace problem for weighted $L^{p}$ spaces on locally compact abelian groups, for even weights and $1 < p < \infty$ .