Dilations to systems of matrix units
Dimensional gradations and cogradations of operator ideals. The weak distance between Banach-spaces
Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras
We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of representations of the linear group GL(n) and universal upper bounds on the relative dimensions of irreducible components of a tensor product of representations of the special linear group SL(n). This problem is motivated by harmonic analysis problems, and we give some applications to the theory of Beurling-Fourier algebras.
Dirac Operations with Strongly Singular Potentials. Distinguished Self-Adjoint Extensions Constructed with a Spectral Gap Theorem and Cut-Off-Potentials.
Dirac operators, conformal transformations and aspects of classical harmonic analysis.
Direct Integral Decomposition of Spectral Operators.
Direct Integrals of Hilbert Spaces II.
Direct Integrals of Left Hubert Algebras.
Direct limit of matrix order unit spaces
The notion of ℱ-approximate order unit norm for ordered ℱ-bimodules is introduced and characterized in terms of order-theoretic and geometric concepts. Using this notion, we characterize the inductive limit of matrix order unit spaces.
Direct results for certain family of integral type operators.
Direct sum of residually decomposable operators
Direct sums of irreducible operators
It is known that every operator on a (separable) Hilbert space is the direct integral of irreducible operators, but not every one is the direct sum of irreducible ones. We show that an operator can have either finitely or uncountably many reducing subspaces, and the former holds if and only if the operator is the direct sum of finitely many irreducible operators no two of which are unitarily equivalent. We also characterize operators T which are direct sums of irreducible operators in terms of the...
Directedness in Ordered Normed Spaces and Operators.
Directional contractors and equations in Banach spaces
Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions.
Dirichlet problems without convexity assumption
We deal with the existence of solutions of the Dirichlet problem for sublinear and superlinear partial differential inclusions considered as generalizations of the Euler-Lagrange equation for a certain integral functional without convexity assumption. We develop a duality theory and variational principles for this problem. As a consequence of the duality theory we give a numerical version of the variational principles which enables approximation of the solution for our problem.
Dirichlet series and uniform ergodic theorems for linear operators in Banach spaces
We study the convergence properties of Dirichlet series for a bounded linear operator T in a Banach space X. For an increasing sequence of positive numbers and a sequence of functions analytic in neighborhoods of the spectrum σ(T), the Dirichlet series for is defined by D[f,μ;z](T) = ∑n=0∞ e-μnz fn(T), z∈ ℂ. Moreover, we introduce a family of summation methods called Dirichlet methods and study the ergodic properties of Dirichlet averages for T in the uniform operator topology.
Dirichlet-Neumann bracketing for boundary-value problems on graphs.
Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra
We show that in contrast to the case of the operator norm topology on the set of regular operators, the Fuglede-Kadison determinant is not continuous on isomorphisms in the group von Neumann algebra with respect to the strong operator topology. Moreover, in the weak operator topology the determinant is not even continuous on isomorphisms given by multiplication with elements of . Finally, we define such that for each the operator is a self-adjoint weak isomorphism of determinant class but...
Discontinuous invariant functio- nals and traces