Spectral inequalities and G-functions

DOI10.1016/0024-3795(80)90218-9zbMath0431.15019OpenAlexW2076561196MaRDI QIDQ1138065

Raul Tovar, Pedro Nowosad

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90218-9

zbMATH Keywords

Fredholm theorydiagonal dominanceCarleman's inequalitySchur's inequalitymonotonic normG- function

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (12)

Some inequalities related to eigenvalues ⋮ Composition and nuclearity of kernel operators ⋮ Upper Bounds for Norms of Products of Binomials ⋮ Remark on upper bounds for the spread of a matrix ⋮ The Carleman-Smithies theory of integral operators for reflexive Orlicz spaces ⋮ Bounds and majorization relations for the critical points of polynomials ⋮ Estimates for bounds of some numerical characters of matrices ⋮ Upper bounds for the spread of a matrix ⋮ Gersgorin variations. II: On themes of Fan and Gudkov ⋮ Bounds and Majorization Relations for the Zeros of Polynomials ⋮ On some properties of singular matrices ⋮ THE EIGENVALUE DISTRIBUTION OF A HUBERT-SCHMIDT-TYPE OPERATOR

Cites Work

• Note on circular disks containing the eigenvalues of a matrix
• Absolute and monotonic norms
• The Carleman-Smithies theory of integral operators for reflexive Orlicz spaces
• Minimal G-functions
• On Some Conditions for Nonvanishing of Determinants
• On Pre-Conditioning of Matrices
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