Refinements of operator Cauchy-Schwarz and Minkowski inequalities for \(p\)-modified norms and related norm inequalities

DOI10.1016/j.laa.2015.09.047zbMath1343.47012OpenAlexW2221214690MaRDI QIDQ896855

Danko R. Jocić, Stefan Milošević

Publication date: 14 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.09.047

zbMATH Keywords

unitarily invariant normoperator matrixsymmetrically norming function

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Functional calculus for linear operators (47A60) Structure theory of linear operators (47A65)

Related Items (8)

Cauchy–Schwarz Operator and Norm Inequalities for Inner Product Type Transformers in Norm Ideals of Compact Operators, with Applications ⋮ Perturbation norm inequalities for elementary operators generated by analytic functions with positive Taylor coefficients ⋮ 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 ⋮ Refinements of inequalities related to Landau-Grüss inequalities for elementary operators acting on ideals associated to \(p\)-modified unitarily invariant norms ⋮ Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators ⋮ The applications of Cauchy-Schwartz inequality for Hilbert modules to elementary operators and I.P.T.I. transformers ⋮ Refinements of the Hadamard and Cauchy-Schwarz inequalities with two inequalities of the principal angles ⋮ Cauchy-Schwarz norm inequalities for elementary operators and inner product type transformers generated by families of subnormal operators

Cites Work

• Unnamed Item
• Unnamed Item
• Non-commutative Clarkson inequalities for unitarily invariant norms.
• Multipliers of elementary operators and comparison of row and column space Schatten \(p\) norms
• Norm equalities and inequalities for operator matrices
• Non-commutative Clarkson inequalities for \(n\)-tuples of operators
• Classes of linear operators. Vol. I
• Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions
• On the Clarkson-McCarthy inequalities
• \(c_ p\)
• On Clarkson-McCarthy inequalities for $n$-tuples of operators
• The Cauchy-Schwarz Norm Inequality for Elementary Operators in Schatten Ideals
• CLARKSON INEQUALITIES WITH SEVERAL OPERATORS
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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