Keywords: 47A63; 47A64; 47A56; 46E05; 15B48; Kubo-Ando means; Operator monotone functions; Symmetric means; Self-adjoint means; Lattice of functions;
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Keywords: primary; 47A63; 47B20; secondary; 47A56; 47B37; Normal operator; Quasinormal operator; Operator convex function; Davis-Choi-Jensen inequality; Operator equation; Operator inequality; Weighted shift;
Keywords: primary; 15A18; 47A56; 49R50; secondary; 05A05; 47A75; Operator monotone function; Löwner operator; Spectral function; Isotropic function; Primary matrix function; Pick function; Bernstein function; Symmetric function; Positive map; D-type linear map; Di
Keywords: 47A60; 47A56; 30E99; Functional calculus; Non-holomorphic; Nondiagonalizable matrices;
Keywords: 35L05; 35P05; 47A56; 47D06; Damped wave equation; Unbounded damping; Essential spectrum; Quadratic operator function with unbounded coefficients; Schrödinger operators with complex potentials;
Keywords: 47A56; 47J10; 47A10; 47A12; Operator pencil; Spectral divisor; Numerical range; Non-linear spectral problem;
Keywords: primary; 13J30; 15A22; 47A56; secondary; 14P10; 16U30; 16R30; Noncommutative polynomial; Factorization; Singularity locus; Linear matrix inequality; Spectrahedron; Invariant theory;
Keywords: primary; 16S85; 47A56; secondary; 16R50; 93B20; Noncommutative rational function; Universal skew field; Division ring; Realization; Generalized series; Minimization; Rational identity; Extended domain; Symmetric noncommutative rational function;
Keywords: primary; 16S38; 93B55; secondary; 47A56; 93B20; 15A54; Noncommutative rational function; Extended domain; Singularities; Minimal realization; Free function theory;
Keywords: 47A13; 47A20; 47A56; 47B38; 14M99; 46E20; 30H10; von Neumann inequality; Commuting isometries; Isometric dilations; Inner multipliers;
Keywords: primary; 47A55; 47A56; secondary; 47B10; Multiple operator integral; Trace formula;
Keywords: primary; 47A55; 47A56; secondary; 47B10; Multiple operator integrals; Operator derivatives;
Keywords: primary; 49R05; secondary; 47A56; 47A10; Variational principles for eigenvalues; Operator functions; Spectral decomposition;
Keywords: primary; 15A24; secondary; 05C20; 47A56; Sum of idempotents; Logarithmic residue; Zero pattern matrix algebra;
Keywords: 47A63; 47A64; 47A56; 15B57Operator inequality; Operator mean; Loewner's theorem; Hansen–Pedersen inequality; Furuta inequality; Majorization
Keywords: 65F15; 65F18; 47A56; Matrix polynomial; Linearization; Singular values; Sylvester equation; Eigenvalue perturbation theory;
Keywords: 47A55; 47A56; 47B10Singular traces; Spectral shift; Perturbation formula; Krein trace formula
Keywords: 30E05; 47A56; Interpolation; Positive definite kernel; Nevanlinna-Pick problem; Corona problem; Carathéodory-Fejér problem;
Keywords: 15A22; 47A56; 47A75; 15A18Linear operator pencils; Spectral theory; Non-self-adjoint operators; Tri-diagonal matrices; Eigenvalue asymptotics
Norm inequalities for a class of elementary operators generated by analytic functions with non-negative Taylor coefficients in ideals of compact operators related to p-modified unitarily invariant norms
Keywords: primary; 47B49; secondary; 47B47; 47A56; 47A30; 47A63; 47B10; 47B15; Norm inequalities; Elementary operators; Q-norms;
Trace formulas for relative Schatten class perturbations
Keywords: primary; 47A55; 47A56; secondary; 47B10; Relative Schatten class perturbations; Trace formulas;
A generalization of Schur functions: Applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks
Keywords: 47A56; 42C05; 47B36; 60J10; 81Q99; Schur functions; Nevanlinna functions; Khrushchev formula; Recurrence; Random walks; Quantum walks;
Factorizations of contractions
Keywords: 47A13; 47A20; 47A56; 47A68; 47B38; 46E20; 30H10; Pair of commuting contractions; Pair of commuting isometries; Hardy space; Factorizations; Von Neumann inequality;
Beurling-Lax type theorems in the complex and quaternionic setting
Keywords: 47A56; 47B32; 30G35; Beurling-Lax theorem; Analytic functions in the unit disk; in the half-plane; Slice hyperholomorphic functions in the quaternionic unit ball; in the quaternionic half space; de Branges Rovnyak spaces;
Multilinear Schur multipliers and Schatten properties of operator Taylor remainders
Keywords: primary; 47A55; 47A56; 47B10; Multilinear Schur multipliers; Taylor approximations of operator functions;
Matrix Fejér–Riesz theorem with gaps
Keywords: 14P10; 13J30; 47A56
Superadditivity and derivative of operator functions
Keywords: 47A56; 47A63; Matrix order; Fréchet derivative; Operator monotone function; Operator concave function; Operator convex function;
An inverse problem for gyroscopic systems
Keywords: 47A56; 15A22; 39A99Matrix polynomials; Gyroscopic systems
The best constants for operator Lipschitz functions on Schatten classes
Keywords: 47A56; 47B10; 47B47; Operator-Lipschitz functions; Schatten-von Neumann ideals; Commutator estimates;
Schur–Nevanlinna–Potapov sequences of rational matrix functions
Keywords: 47A56; 42C05; 30E05Orthogonal rational matrix functions; Christoffel–Darboux formulae; Schur algorithm; Nevanlinna–Pick problem
Analysis of symmetric matrix valued functions I
Keywords: 49R50; 47A56; 15A18Symmetric matrix valued function; Spectral function; Strict continuity; Lipschitz continuity; Frechet differentiability; Directional differentiability; Continuous differentiability
Berry-Esseen theorem and local limit theorem for non uniformly expanding maps
Keywords: 37A30; 37A50; 37C30; 37E05; 47A56; 60F15; Non uniformly expanding maps; Berry-Esseen theorem; Local limit theorem;
Characterization of integral operators with semi-separable kernels with symmetries
Keywords: 47A68; 47A56; 15A24; Self-adjoint integral operators; Semi-separable kernels; Positive integral operators; J-unitary integral operators; Positive real integral operators; Dissipative integral operators; Contractive integral operators;
On Hilbert modules of rational matrix-valued functions and related inverse problems
Keywords: 47A56; 30E05; Nonnegative Hermitian Borel measures on the unit circle; Rational moment problem; Reproducing kernels; Orthogonal rational matrix-valued functions;
Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions
Keywords: 47B25; 47A56; Symmetric operators; Self-adjoint extensions; Abstract boundary conditions; Weyl function;