Invariant measures for semigroups
Invariant Subspaces and Spectral Conditions on Operator Semigroups
Invariant subspaces and spectral mapping theorems
We discuss some results and problems connected with estimation of spectra of operators (or elements of general Banach algebras) which are expressed as polynomials in several operators, noncommuting but satisfying weaker conditions of commutativity type (for example, generating a nilpotent Lie algebra). These results have applications in the theory of invariant subspaces; in fact, such applications were the motivation for consideration of spectral problems. More or less detailed proofs are given...
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. 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.
Invarianz des wesentlichen Spektrums bei Schrödingeroperatoren.
Inverse problems in spaces of measures
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)...
Inverse scattering problem for the Maxwell equations outside moving body
Inverses et propriétés spectrales des matrices de Toeplitz à symbole singulier
Inverses of generators of nonanalytic semigroups
Suppose A is an injective linear operator on a Banach space that generates a uniformly bounded strongly continuous semigroup . It is shown that generates an -regularized semigroup. Several equivalences for generating a strongly continuous semigroup are given. These are used to generate sufficient conditions on the growth of , on subspaces, for generating a strongly continuous semigroup, and to show that the inverse of -d/dx on the closure of its image in L¹([0,∞)) does not generate a strongly...
Inversion of matrix convolution type operators with symmetry.
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations.