Norm equalities and inequalities for operator matrices

DOI10.1016/j.laa.2008.02.004zbMath1153.47005OpenAlexW2047764364MaRDI QIDQ927750

Wathiq Bani-Domi, Fuad Kittaneh

Publication date: 9 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.02.004

zbMATH Keywords

norm inequalitySchatten \(p\)-normweakly unitarily invariant normskew circulant operator matrix

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) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Structure theory of linear operators (47A65)

Related Items (28)

The p-norm of circulant matrices ⋮ Norm estimates of \(\omega\)-circulant operator matrices and isomorphic operators for \(\omega\)-circulant algebra ⋮ New norm equalities and inequalities for operator matrices ⋮ Numerical Radius Inequalities for Commutators of Hilbert Space Operators ⋮ Equalities and inequalities for norms of block imaginary circulant operator matrices ⋮ A novel numerical radius upper bounds for 2 × 2 operator matrices ⋮ Some refinements of numerical radius inequalities for 2 × 2 operator matrices ⋮ Refinements of operator Cauchy-Schwarz and Minkowski inequalities for \(p\)-modified norms and related norm inequalities ⋮ New unitary equivalences for some operator matrices with applications ⋮ On singular values of block circulant matrices ⋮ Numerical radius inequalities for certain \(2 \times 2\) operator matrices ⋮ An application of matricial Fibonacci identities to the computation of spectral norms ⋮ Isomorphic operators and functional equations for the skew-circulant algebra ⋮ New norm equalities and inequalities for certain operator matrices ⋮ Explicit inverse matrices of Tribonacci skew circulant type matrices ⋮ Analysis of the structured perturbation for the BSCCB linear system ⋮ New norm equalities and inequalities for Hankel operator matrices ⋮ Norm equalities and inequalities for three circulant operator matrices ⋮ Numerical radius inequalities for operator matrices ⋮ Best approximation by diagonal operators in Schatten ideals ⋮ On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers ⋮ Refined and generalized numerical radius inequalities for \(2 \times 2\) operator matrices ⋮ On \(\mathbb{A}\)-numerical radius equalities and inequalities for certain operator matrices ⋮ Spectral radius inequalities for operator matrices with commuting entries ⋮ Clarkson-McCarthy inequalities for several operators and related norm inequalities for \(p\)-modified unitarily invariant norms ⋮ The \(p\)-norm of circulant matrices via Fourier analysis ⋮ Unnamed Item ⋮ Norm and numerical radius inequalities for Hilbert space operators

Cites Work

• Unnamed Item
• A norm compression inequality for block partitioned positive semidefinite matrices
• Non-commutative Clarkson inequalities for \(n\)-tuples of operators
• Norm inequalities for partitioned operators and an application
• Inequalities for trace norms of \(2\times 2\) block matrices.
• New trace norm inequalities for \(2\times 2\) blocks of diagonal matrices
• Positive definite matrices
• On Clarkson-McCarthy inequalities for $n$-tuples of operators
• Pinchings and Norms of Scaled Triangular Matrices
• CLARKSON INEQUALITIES WITH SEVERAL OPERATORS
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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