A generalization of the Yosida-Kakutani ergodic theorem
A generalization of Vesentini and Wermer's theorems
A Hilbert-type linear operator with the norm and its applications.
A K-theoretic relative index theorem and Callias-type Dirac operators.
A la recherche du spectre perdu: An invitation to nonlinear spectral theory
We give a survey on spectra for various classes of nonlinear operators, with a particular emphasis on a comparison of their advantages and drawbacks. Here the most useful spectra are the asymptotic spectrum by M. Furi, M. Martelli and A. Vignoli (1978), the global spectrum by W. Feng (1997), and the local spectrum (called “phantom”) by P. Santucci and M. Väth (2000). In the last part we discuss these spectra for homogeneous operators (of any degree), and derive a discreteness result and a nonlinear...
A lower bound of the norm of the operator X → AXB + BXA.
A maximum problem for operators
A mean ergodic theorem for a contraction semigroup in Lebesgue space
A mean ergodic theorem for resolvent operators.
A method of approximate factorization of positive definite matrix functions
An algorithm of factorization of positive definite matrix functions of second order is proposed.
A minimax principle for eigenvalues in spectral gaps: Dirac operators with Coulomb potentials.
A Minkowski-type inequality for the Schatten norm.
A model for some analytic Toeplitz operators
We present a change of variable method and use it to prove the equivalence to bundle shifts for certain analytic Toeplitz operators on the Banach spaces . In Section 2 we see this approach applied in the analysis of essential spectra. Some partial results were obtained in [9] in the Hilbert space case.
A model of atomic radiation
A multi-dimensional spectral theory in C*-algebras
A Multiparameter Strongly Superadditive Ergodic Theorem.
A multiplier theorem for Schrödinger operators
A natural localization of Hardy spaces in several complex variables
Let H²(bΩ) be the Hardy space of a bounded weakly pseudoconvex domain in . The natural resolution of this space, provided by the tangential Cauchy-Riemann complex, is used to show that H²(bΩ) has the important localization property known as Bishop’s property (β). The paper is accompanied by some applications, previously known only for Bergman spaces.
A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure.
A new class of Ornstein transformations with singular spectrum