Diagonal mappings between sequence spaces
Diagonal nuclear operators
Diagonal operators on spaces of measurable functions.
Diagonal operators on spaces of measurable functions
Diagonalisation d'opérateurs non-autoadjoints et séparation des variables
Diagonality in C*-Algebras.
Diagonalization of a self-adjoint operator acting on a Hilbert module.
Diagonals of projective tensor products and orthogonally additive polynomials
Let E be a Banach space with 1-unconditional basis. Denote by (resp. ) the main diagonal space of the n-fold full (resp. symmetric) projective Banach space tensor product, and denote by (resp. ) the main diagonal space of the n-fold full (resp. symmetric) projective Banach lattice tensor product. We show that these four main diagonal spaces are pairwise isometrically isomorphic, and in addition, that they are isometrically lattice isomorphic to , the completion of the n-concavification of...
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).
Diameter-preserving maps on various classes of function spaces
Under some mild assumptions, non-linear diameter-preserving bijections between (vector-valued) function spaces are characterized with the help of a well-known theorem of Ulam and Mazur. A necessary and sufficient condition for the existence of a diameter-preserving bijection between function spaces in the complex scalar case is derived, and a complete description of such maps is given in several important cases.
Diametrically contractive maps and fixed points.
Diametrically contractive multivalued mappings.
Dichotomy and functional calculi.
Die absolute Stetigkeit des positiven Spektrums der Schwingungsgleichungen mit oszillierendem Hauptteil.
Die erzeugte Algebra eines Markov-Verbandsoperators in C(X).
Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme.
Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil II.
Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil III.
Dieudonné operators on the space of Bochner integrable functions
A bounded linear operator between Banach spaces is called a Dieudonné operator ( = weakly completely continuous operator) if it maps weakly Cauchy sequences to weakly convergent sequences. Let (Ω,Σ,μ) be a finite measure space, and let X and Y be Banach spaces. We study Dieudonné operators T: L¹(X) → Y. Let stand for the canonical injection. We show that if X is almost reflexive and T: L¹(X) → Y is a Dieudonné operator, then is a weakly compact operator. Moreover, we obtain that if T: L¹(X)...
Differences of composition operators on the space of bounded analytic functions in the polydisc.