On the functional inequality for the spectral radius of compact operators

DOI10.1080/03081080903489985zbMath1223.47007OpenAlexW1971146464MaRDI QIDQ3006553

Aljoša Peperko

Publication date: 20 June 2011

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

Full work available at URL: https://doi.org/10.1080/03081080903489985

zbMATH Keywords

spectral radiuscompact operatorsinfinite matricesBanach sequence space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators defined by compactness properties (47B07) Spectrum, resolvent (47A10) Positive linear operators and order-bounded operators (47B65)

Related Items

Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ Bounds on the generalized and the joint spectral radius of Hadamard products of bounded sets of positive operators on sequence spaces ⋮ Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard weighted geometric mean of positive kernel operators ⋮ Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces ⋮ Inequalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces

Cites Work

• Inequalities for the Hadamard weighted geometric mean of positive kernel operators on Banach function spaces
• Functional inequalities for spectral radii of nonnegative matrices
• Inequalities for the spectral radius of non-negative functions
• Some monotonicity properties of Schur powers of matrices and related inequalities
• Tight bounds on the spectral radius of asymmetric nonnegative matrices
• Positive compact operators on Banach lattices: Some loose ends
• The centre of spaces of regular operators
• A CONVEXITY PROPERTY OF POSITIVE MATRICES
• Norms and Inequalities Related to Schur Products of Rectangular Matrices
• The perron root of a weighted geometric mean of nonneagative matrices
• Converses for the Dodds–Fremlin and Kalton–Saab theorems
• Spectral inequalities for compact integral operators on Banach function spaces