An expression of spectral radius via Aluthge transformation
From MaRDI portal
Publication:2781261
DOI10.1090/S0002-9939-01-06283-9zbMath1009.47010OpenAlexW1530295024MaRDI QIDQ2781261
Publication date: 19 March 2002
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06283-9
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Several-variable operator theory (spectral, Fredholm, etc.) (47A13)
Related Items
Spectral radius formulas involving generalized Aluthge transform, On the Composition of Conditional Expectation and Multiplication Operators, Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators, Fuglede-Putnam type theorems via the Aluthge transform, Aluthge Transforms and the Convex Hull of the Eigenvalues of a Matrix, Spherical Aluthge transform, sphericalpandlog-hyponormality of commuting pairs of operators, Unnamed Item, The spectral picture and joint spectral radius of the generalized spherical Aluthge transform, The iterated Aluthge transforms of a matrix converge, Generalized spherical Aluthge transforms and binormality for commuting pairs of operators, Aluthge transforms of unbounded weighted composition operators in L2‐spaces, Stability of \(\mathcal{AN}\)-property for the induced Aluthge transformations, Inequalities involving the generalized spherical Aluthge transform of operators, Subnormality of Aluthge transforms of weighted shifts, On generalized numerical range of the Aluthge transformation., Upper bounds for the Euclidean spectral radius of operators via joint norms, On an extension of operator transforms, Convergence of the iterated Aluthge transform sequence for diagonalizable matrices, Convergence of Aluthge iteration in semisimple Lie groups, The induced Aluthge transformations, New formulas for the spectral radius via \(\lambda\)-Aluthge transform, Product commuting maps with the \(\lambda\)-Aluthge transform, The mean transform and the mean limit of an operator, Aluthge transforms of 2-variable weighted shifts, Aluthge transforms and common invariant subspaces for a commuting \(n\)-tuple of operators, Extended spectrum of the Aluthge transformation, \(\lambda\)-Aluthge transforms and Schatten ideals, Aluthge iteration in semisimple Lie group, Quasinormality of powers of commuting pairs of bounded operators, Linear bijections on von Neumann factors commuting with λ‐Aluthge transform, On numerical range of the Aluthge transformation, Commuting maps with the Mean Transform, Aluthge operator field and its numerical range and spectral properties, Moment infinite divisibility of weighted shifts: sequence conditions, Brown measure and iterates of the Aluthge transform for some operators arising from measurable actions, Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators, Joint spectra of spherical Aluthge transforms of commuting \(n\)-tuples of Hilbert space operators, Some classes of weighted conditional type operators and their spectra, Unnamed Item
Cites Work
- On log-hyponormal operators
- Further extensions of Aluthge transformation on \(p\)-hyponormal operators
- Characterizations of \(\log A\geq\log B\) and normaloid operators via Heinz inequality
- Classes of operators determined by the Heinz-Kato-Furuta inequality and the Hölder-McCarthy inequality
- \(w\)-hyponormal operators
- On p-hyponormal operators for \(0<p<1\)
- Beiträge zur Störungstheorie der Spektralzerlegung
- A note on $p$-hyponormal operators
