Description of invariant subspaces of Lp(μ) by multiplication operators.
Description of the structure of singular spectrum for Friedrichs model operators near singular point.
Destabilization for quasivariational inequalities of reaction-diffusion type
We consider a reaction-diffusion system of the activator-inhibitor type with unilateral boundary conditions leading to a quasivariational inequality. We show that there exists a positive eigenvalue of the problem and we obtain an instability of the trivial solution also in some area of parameters where the trivial solution of the same system with Dirichlet and Neumann boundary conditions is stable. Theorems are proved using the method of a jump in the Leray-Schauder degree.
Déterminant relatif et la fonction Xi
Determinants of a class of Toeplitz matrices.
Determination of the diffusion operator on an interval
The inverse problem of spectral analysis for the diffusion operator with quasiperiodic boundary conditions is considered. A uniqueness theorem is proved, a solution algorithm is presented, and sufficient conditions for the solvability of the inverse problem are obtained.
Determination of the Invariant Interval for Positive Linear Operators by a Nonstationary Iterative Procedure
Deuxième microlocalisation sur les sous-variétés isotropes
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
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.