Invariant States of von Neumann Algebras.
Invariant states on Borchers' tensor algebra
Invariant subspaces for operators in a general II1-factor
Let ℳ be a von Neumann factor of type II1 with a normalized trace τ. In 1983 L. G. Brown showed that to every operator T∈ℳ one can in a natural way associate a spectral distribution measure μ T (now called the Brown measure of T), which is a probability measure in ℂ with support in the spectrum σ(T) of T. In this paper it is shown that for every T∈ℳ and every Borel set B in ℂ, there is a unique closed T-invariant subspace affiliated with ℳ, such that the Brown measure of is concentrated on B...
Invariant subspaces for polynomially compact almost superdiagonal operators on .
Invariant subspaces for some operators on locally convex spaces
The invariant subspace problem for some operators and some operator algebras acting on a locally convex space is studied.
Invariant Subspaces of Compact Elements in C*-Algebras.
Invariant subspaces of L... and H... .
Invariant subspaces of the Dirichlet shift.
Invariant subspaces of under the action of biconjugates
We study conditions on an infinite dimensional separable Banach space implying that is the only non-trivial invariant subspace of under the action of the algebra of biconjugates of bounded operators on : . Such a space is called simple. We characterize simple spaces among spaces which contain an isomorphic copy of , and show in particular that any space which does not contain and has property (u) of Pelczynski is simple.
Invariant subspaces on multiply connected domains.
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
Let be a hyperbolic Riemann surface, a harmonic measure supported on the Martin boundary of , and the subalgebra of consisting of the boundary values of bounded analytic functions on . This paper gives a complete classification of the closed -submodules of , (weakly closed, if , when 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
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.
Invariante Spuren auf Gruppenalgebren.
Invariants of the half-liberated orthogonal group
The half-liberated orthogonal group appears as intermediate quantum group between the orthogonal group , and its free version . 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 and , 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.
Inverse elements in extensions of Banach algebras
Inverse function theorems for Banach spaces in a topos
Inverse images of function sectors in the weighted Bergman space.
Inverse Limit Spaces Satisfying a Poincaré Inequality
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,...