Ergodic theorems for linear operators on with strict topology
Ergodic Theorems for Noncommutative Dynamical Systems.
Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces
Under different compactness assumptions pointwise and mean ergodic theorems for subadditive superstationary families of random sets whose values are weakly (or strongly) compact convex subsets of a separable Banach space are presented. The results generalize those of [14], where random sets in are considered. Techniques used here are inspired by [3].
Ergodic theorems in fully symmetric spaces of τ-measurable operators
Junge and Xu (2007), employing the technique of noncommutative interpolation, established a maximal ergodic theorem in noncommutative -spaces, 1 < p < ∞, and derived corresponding maximal ergodic inequalities and individual ergodic theorems. In this article, we derive maximal ergodic inequalities in noncommutative -spaces directly from the results of Yeadon (1977) and apply them to prove corresponding individual and Besicovitch weighted ergodic theorems. Then we extend these results to noncommutative...
Ergodic theory and connections with analysis and probability.
Ergodic transforms associated to general averages
Jones and Rosenblatt started the study of an ergodic transform which is analogous to the martingale transform. In this paper we present a unified treatment of the ergodic transforms associated to positive groups induced by nonsingular flows and to general means which include the usual averages, Cesàro-α averages and Abel means. We prove the boundedness in , 1 < p < ∞, of the maximal ergodic transforms assuming that the semigroup is Cesàro bounded in . For p = 1 we find that the maximal ergodic...
Ergodicity of Anosov Actions.
Erratum to “Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials”.
Erratum to "Operators on spaces of analytic functions" (Studia Math, 108 (1994), 49-54)
Erratum to "Stability of the index of a linear relation under compact perturbations" (Studia Math. 180 (2007), 95-102)
We give a corrected version of the main result from the paper cited in the title. We obtain necessary and sufficient conditions for the stability of the topological index of an open linear relation under compact perturbations
Erratum to: “Towards a theory of some unbounded linear operators on -adic Hilbert spaces and applications”
Erratum/addendum to the paper: "Quasi *-algebras and generalized inductive limits of C*-algebras" (Studia Math. 202 (2011), 165-190)
Error-estimates for the method of least squares of finding eigenvalues and eigenfunctions
Error-estimates for the Ritz's method of finding eigenvalues and eigenfunctions
Espaces de Krein et index des systèmes hamiltoniens
Espacios de Fréchet de generación debilmente compacta.
Essential descent spectrum and commuting compact perturbations.
Essential norms of the Neumann operator of the arithmetical mean
Let () be a compact set; assume that each ball centered on the boundary of meets in a set of positive Lebesgue measure. Let be the class of all continuously differentiable real-valued functions with compact support in and denote by the area of the unit sphere in . With each we associate the function of the variable (which is continuous in and harmonic in ). depends only on the restriction of to the boundary of . This gives rise to a linear operator acting from...
Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields
We define the magnetic Schrödinger operator on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges. We discuss essential self-adjointness of this operator for graphs of bounded degree. The main result is a discrete version of a result of two authors of the present paper.
Essential self-adjointness of many particle Schrödinger hamiltonians with singular two-body potentials