On a formula of the generalized resolvents of a nondensely defined Hermitian operator

From MaRDI portal
Publication:3138213

DOI10.1007/BF01061278zbMath0789.47005OpenAlexW1978939585MaRDI QIDQ3138213

Mark M. Malamud

Publication date: 13 March 1994

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01061278




Related Items (54)

On the deficiency indices and self-adjointness of symmetric Hamiltonian systemsDirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functionsBoundary triples for integral systems on finite intervalsBoundary Triplets, Weyl Functions, and the Kreĭn FormulaOn Weyl function and generalized resolvents of a Hermitian operator in a Krein spaceThe extension theory of Hermitian operators and the moment problemDiscrete symplectic systems, boundary triplets, and self-adjoint extensionsBoundary value problems for elliptic partial differential operators on bounded domainsSpectral estimates for resolvent differences of self-adjoint elliptic operatorsOn the unitary equivalence of absolutely continuous parts of self-adjoint extensionsOn uniform convergence of the inverse Fourier transform for differential equations and Hamiltonian systems with degenerating weightOn compressions of self-adjoint extensions of a symmetric linear relationScattering theory for open quantum systems with finite rank couplingSpectral and pseudospectral functions of various dimensions for symmetric systemsThe Jacobi matrices approach to Nevanlinna-Pick problemsDeficiency indices of block Jacobi matrices: surveyOn compressions of self-adjoint extensions of a symmetric linear relation with unequal deficiency indicesSymmetric operators with real defect subspaces of the maximal dimension. Applications to differential operatorsPseudospectral functions of various dimensions for symmetric systems with the maximal deficiency indexOn Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systemsUnitary equivalence of proper extensions of a symmetric operator and the Weyl functionOn eigenfunction expansions of differential equations with degenerating weightA remark on the discriminant of Hill's equation and Herglotz functionsNon-compact quantum graphs with summable matrix potentialsOn generalized resolvents of Hermitian relations in Krein spacesNon-self-adjoint extensions of a Hermitian operator and their characteristic functionsInitial data of solutions of complete second-order operator-differential equationsOn the Right Hamiltonian for Singular Perturbations: General TheorySpherical Schrödinger operators with δ-type interactionsOn a class of integral systemsFundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimesBoundary triplets for skew symmetric operators and the generation of strongly continuous semigroupsBoundary pairs and boundary conditions for general (not necessarily definite) first‐order symmetric systems with arbitrary deficiency indicesGeneralized Jacobi operators in Krein spacesSpectral theory of infinite quantum graphsDonoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentialsA description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domainsShifted Darboux transformations of the generalized Jacobi matrices. IOn characteristic matrices and eigenfunction expansions of two singular point symmetric systemsA Schrödinger operator with point interactions on Sobolev spacesBoundary triplets, tensor products and point contacts to reservoirsA remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domainsOn Krein's formula in the case of non-densely defined symmetric operatorsInverse spectral problem for normal matrices and the Gauss-Lucas theoremLinear operators associated with differential and difference systems: what is different?An addendum to Krein's formulaExtensions of Laguerre operators in indefinite inner product spacesBoundary relations and generalized resolvents of symmetric operatorsOn couplings of symmetric operators with possibly unequal and infinite deficiency indicesOn Maxwell's equations on globally hyperbolic spacetimes with timelike boundaryFundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundaryBoundary relations and their Weyl familiesInverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functionsOn eigenfunction expansions of first-order symmetric systems and ordinary differential operators of an odd order




This page was built for publication: On a formula of the generalized resolvents of a nondensely defined Hermitian operator