Upper bounds for the Euclidean spectral radius of operators via joint norms

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Numerical range, numerical radius (47A12) Positive linear operators and order-bounded operators (47B65)

Cites Work

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Toral and spherical Aluthge transforms of 2-variable weighted shifts
Product commuting maps with the \(\lambda\)-Aluthge transform
Aluthge transforms and common invariant subspaces for a commuting \(n\)-tuple of operators
The iterated Aluthge transforms of a matrix converge
Boundary points of joint numerical ranges
Aluthge transforms of operators
On joint spectral radius of commuting operators in Hilbert spaces
Complete contractivity of maps associated with the Aluthge and Duggal transforms.
Aluthge transforms of 2-variable weighted shifts
Quasinormality of powers of commuting pairs of bounded operators
Spectral radius of semi-Hilbertian space operators and its applications
Spherically quasinormal pairs of commuting operators
Joint spectra of spherical Aluthge transforms of commuting \(n\)-tuples of Hilbert space operators
A joint spectrum for several commuting operators
On p-hyponormal operators for \(0<p<1\)
The spectral picture and joint spectral radius of the generalized spherical Aluthge transform
An expression of spectral radius via Aluthge transformation
A numerical radius inequality involving the generalized Aluthge transform
On the Iterated Duggal Transforms
Unitary invariants in multivariable operator theory
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
Spherical symmetry of some unitary invariants for commuting tuples
Mind Duggal transforms
Spectral pictures of Aluthge transforms of operators
Generalized spherical Aluthge transforms and binormality for commuting pairs of operators

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