Spectral order and a matrix limit theorem

DOI10.1080/03081087908817295zbMath0424.47018OpenAlexW2034083843MaRDI QIDQ3858812

Tosio Kato

Publication date: 1979

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087908817295

zbMATH Keywords

latticeHermitian matrixspectral order

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (18)

Powers and commutativity of selfadjoint operators ⋮ Vigier's theorem for the spectral order and its applications ⋮ Spectral order on \(AW^\ast\)-algebras and its preservers ⋮ Spectral order automorphisms of the spaces of Hilbert space effects and observables ⋮ Majorization, doubly stochastic matrices, and comparison of eigenvalues ⋮ Spectral order of operators and range projections ⋮ On the Russo-Dye theorem for positive linear maps ⋮ Multidimensional spectral order for selfadjoint operators ⋮ Matrix inequalities related to Hölder inequality ⋮ Eigenvalue comparisons for second-order linear equations with boundary value conditions on time scales ⋮ Minimal upper bounds of commuting operators ⋮ Automorphisms of spectral lattices of unbounded positive operators ⋮ Automorphisms of spectral lattices of positive contractions on von Neumann algebras ⋮ Hermitian semidefinite matrix means and related matrix inequalities—an introduction ⋮ Kolmogorov's complexity for positive definite matrices ⋮ Spectral order for Jordan triples ⋮ Reciprocal Lie–Trotter formula ⋮ Spectral order for unbounded operators

Cites Work

• On groups of automorphisms of operator algebras
• Über monotone Matrixfunktionen
• Beiträge zur Störungstheorie der Spektralzerlegung

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