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Invariant subspaces of the Dirichlet shift.

Stefan Richter (1988)

Journal für die reine und angewandte Mathematik

Invariant subspaces of $X^{* *}$ under the action of biconjugates

Sophie Grivaux, Jan Rychtář (2006)

Czechoslovak Mathematical Journal

We study conditions on an infinite dimensional separable Banach space $X$ implying that $X$ is the only non-trivial invariant subspace of $X^{* *}$ under the action of the algebra $𝔸 (X)$ of biconjugates of bounded operators on $X$ : $𝔸 (X) = {T^{* *} T \in ℬ (X)}$ . Such a space is called simple. We characterize simple spaces among spaces which contain an isomorphic copy of $c_{0}$ , and show in particular that any space which does not contain $ℓ_{1}$ and has property (u) of Pelczynski is simple.

Invariant subspaces on multiply connected domains.

Ali Abkar, Hakan Hedenmalm (1998)

Publicacions Matemàtiques

The lattice of invariant subspaces of several Banach spaces of analytic functions on the unit disk, for example the Bergman spaces and the Dirichlet spaces, have been studied recently. A natural question is to what extent these investigations carry over to analogously defined spaces on an annulus. We consider this question in the context of general Banach spaces of analytic functions on finitely connected domains Ω. The main result reads as follows: Assume that B is a Banach space of analytic functions...

Invariant subspaces on open Riemann surfaces

Morisuke Hasumi (1974)

Annales de l'institut Fourier

Let $R$ be a hyperbolic Riemann surface, $d_{χ}$ a harmonic measure supported on the Martin boundary of $R$ , and $H^{\infty} (d χ)$ the subalgebra of $L^{\infty} (d χ)$ consisting of the boundary values of bounded analytic functions on $R$ . This paper gives a complete classification of the closed $H^{\infty} (d χ)$ -submodules of $L^{p} (d χ)$ , $1 \leq p \leq \infty$ (weakly $^{*}$ closed, if $p = \infty$ , when $R$ is regular and admits a sufficiently large family of bounded multiplicative analytic functions satisfying an approximation condition. It also gives, as a corollary, a corresponding result for the Hardy...

Invariant subspaces on open Riemann surfaces. II

Morisuke Hasumi (1976)

Annales de l'institut Fourier

We considerably improve our earlier results [Ann. Inst. Fourier, 24-4 (1974] concerning Cauchy-Read’s theorems, convergence of Green lines, and the structure of invariant subspaces for a class of hyperbolic Riemann surfaces.

Invariant Weights on Semi-Finite von Neumann Algebras.

Nils H. Petersen (1973)

Mathematica Scandinavica

Invariante Spuren auf Gruppenalgebren.

Fritz Mayer-Lindenberg (1979)

Journal für die reine und angewandte Mathematik

Invariants of the half-liberated orthogonal group

Teodor Banica, Roland Vergnioux (2010)

Annales de l’institut Fourier

The half-liberated orthogonal group $O_{n}^{*}$ appears as intermediate quantum group between the orthogonal group $O_{n}$ , and its free version $O_{n}^{+}$ . We discuss here its basic algebraic properties, and we classify its irreducible representations. The classification of representations is done by using a certain twisting-type relation between $O_{n}^{*}$ and $U_{n}$ , a non abelian discrete group playing the role of weight lattice, and a number of methods inspired from the theory of Lie algebras. We use these results for showing that...

Invarianz gewisser Operatorenklassen unter nichtkommutativen ergodischen Mitteln.

Jürgen Tischer, Hans Wittmer (1974)

Manuscripta mathematica

Inverse elements in extensions of Banach algebras

Vladimír Müller (1984)

Studia Mathematica

Inverse function theorems for Banach spaces in a topos

Eduardo J. Dubuc, Jorge C. Zilber (2000)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Inverse images of function sectors in the weighted Bergman space.

Pérez-González, Fernando, Ramos Fernández, Julio César (2004)

Revista Colombiana de Matemáticas

Inverse Limit Spaces Satisfying a Poincaré Inequality

Jeff Cheeger, Bruce Kleiner (2015)

Analysis and Geometry in Metric Spaces

We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré inequality in the sense of Heinonen-Koskela [12]. The Poincaré inequality is actually of type (1, 1). We also give a systematic construction of examples for which our conditions are satisfied. Included are known examples of PI spaces, such as Laakso spaces,...

Inverse limits need not exist in the category of compact spaces and Feller kernels: a counterexample

Winkler, Gerhard (1984)

Proceedings of the 12th Winter School on Abstract Analysis

Inverse limits of compact convex sets and direct limits of spaces of continuous affine functions

Peter Taylor (1974)

Studia Mathematica

Inverse problems in spaces of measures

Kristian Bredies, Hanna Katriina Pikkarainen (2013)

ESAIM: Control, Optimisation and Calculus of Variations

The ill-posed problem of solving linear equations in the space of vector-valued finite Radon measures with Hilbert space data is considered. Approximate solutions are obtained by minimizing the Tikhonov functional with a total variation penalty. The well-posedness of this regularization method and further regularization properties are mentioned. Furthermore, a flexible numerical minimization algorithm is proposed which converges subsequentially in the weak* sense and with rate 𝒪(n-1)...

Currently displaying 5021 – 5040 of 13205