Derivations, dynamical systems, and spectral restrictions.
Derivations in Banach algebras.
Derivations mapping into the socle, III
Let A be a Banach algebra, and let d: A → A be a continuous derivation such that each element in the range of d has a finite spectrum. In a series of papers it has been proved that such a derivation is an inner derivation implemented by an element from the socle modulo the radical of A (a precise formulation of this statement can be found in the Introduction). The aim of this paper is twofold: we extend this result to the case where d is not necessarily continuous, and we give a complete description...
Derivations of certain operator algebras.
Derivations of quasi -algebras.
Derivations on Banach algebras.
Derivations on noncommutative Banach algebras
We discuss range inclusion results for derivations on noncommutative Banach algebras from the point of view of ring theory.
Derivative and antiderivative operators and the size of complex domains
We prove some conditions on a complex sequence for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to it. These operators are defined on the space of holomorphic functions in a complex domain. Conditions for the equicontinuity of those sequences are also studied. The conditions depend upon the size of the domain.
Description of invariant subspaces of Lp(μ) by multiplication operators.
Description of the structure of singular spectrum for Friedrichs model operators near singular point.
Determinants of a class of Toeplitz matrices.
Determination of the Invariant Interval for Positive Linear Operators by a Nonstationary Iterative Procedure
Diagonal and Convolution Operators as Elements of Operator Ideals.
Diagonal mappings between sequence spaces
Diagonal nuclear operators
Diagonal operators on spaces of measurable functions.
Diagonal operators on spaces of measurable functions
Diagonality in C*-Algebras.
Diagonalization of a self-adjoint operator acting on a Hilbert module.
Diagonals of Self-adjoint Operators with Finite Spectrum
Given a finite set X⊆ ℝ we characterize the diagonals of self-adjoint operators with spectrum X. Our result extends the Schur-Horn theorem from a finite-dimensional setting to an infinite-dimensional Hilbert space analogous to Kadison's theorem for orthogonal projections (2002) and the second author's result for operators with three-point spectrum (2013).