Dilatability of sesquilinear form-valued kernels
Dilations of Positive Operators: Construction and Ergodic Theory.
Dimensional gradations and cogradations of operator ideals. The weak distance between Banach-spaces
Dirac Operations with Strongly Singular Potentials. Distinguished Self-Adjoint Extensions Constructed with a Spectral Gap Theorem and Cut-Off-Potentials.
Direct Integral Decomposition of Spectral Operators.
Direct Integrals of Hilbert Spaces II.
Direct results for certain family of integral type operators.
Direct sum of residually decomposable operators
Directedness in Ordered Normed Spaces and Operators.
Discontinuous invariant functio- nals and traces
Discrete spectra criteria for singular difference operators
We investigate oscillation and spectral properties (sufficient conditions for discreteness and boundedness below of the spectrum) of difference operators B(y)n+k = (-1)nwk n (pk n yk).
Discrete Wiener-Hopf operators on spaces with Muckenhoupt weight
The discrete Wiener-Hopf operator generated by a function with the Fourier series is the operator T(a) induced by the Toeplitz matrix on some weighted sequence space . We assume that w satisfies the Muckenhoupt condition and that a is a piecewise continuous function subject to some natural multiplier condition. The last condition is in particular satisfied if a is of bounded variation. Our main result is a Fredholm criterion and an index formula for T(a). It implies that the essential spectrum...
Disjoint hypercyclic operators
We introduce the concept of disjoint hypercyclic operators. These are operators performing the approximation of any given vectors with a common subsequence of iterates applied on a common vector. The notion is extended to sequences of operators, and applied to composition operators and differential operators on spaces of analytic functions.
Disjoint hypercyclic powers of weighted translations on groups
Let be a locally compact group and let Recently, Chen et al. characterized hypercyclic, supercyclic and chaotic weighted translations on locally compact groups and their homogeneous spaces. There has been an increasing interest in studying the disjoint hypercyclicity acting on various spaces of holomorphic functions. In this note, we will study disjoint hypercyclic and disjoint supercyclic powers of weighted translation operators on the Lebesgue space in terms of the weights. Sufficient and...
Disjointly strictly-singular operators in Banach lattices
Disjointness preserving and diffuse operators
Disjointness preserving mappings between Fourier algebras
Distance between states and statistical inference in quantum theory
Distances between composition operators.
Composition operators Cφ induced by a selfmap φ of some set S are operators acting on a space consisting of functions on S by composition to the right with φ, that is Cφf = f º φ. In this paper, we consider the Hilbert Hardy space H2 on the open unit disk and find exact formulas for distances ||Cφ - Cψ|| between composition operators. The selfmaps φ and ψ involved in those formulas are constant, inner, or analytic selfmaps of the unit disk fixing the origin.
Distinguished Self-Adjoint Extensions of Dirac Operators Constructed by Means of Cutt-Off Potentials.