Fixed points of holomorphic mappings for domains in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 5, Page 261-274, 2003., 2003 We discuss the Earle‐Hamilton fixed‐point theorem and show how it can be applied when restrictions are known on the numerical range of a holomorphic function. In particular, we extend the Earle‐Hamilton theorem to holomorphic functions with numerical range having real part strictly less than 1.
Lawrence A. Harris
wiley +1 more source
A class of tridiagonal operators associated to some subshifts
Open Mathematics, 2016 We consider a class of tridiagonal operators induced by not necessary pseudoergodic biinfinite sequences. Using only elementary techniques we prove that the numerical range of such operators is contained in the convex hull of the union of the numerical ...
Hernández-Becerra Christian +1 more
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Hilbert–Schmidt‐Type Radii of Operator Pairs
Journal of Function Spaces, Volume 2025, Issue 1, 2025.Let C2H be the Hilbert–Schmidt class on a complex separable Hilbert space H. In light of the recent definition of the weighted numerical radius and motivated by the definition of the Hilbert–Schmidt numerical radius of a pair of operators, we introduce the definition of the weighted Hilbert–Schmidt numerical radius of a pair of operators.
Bashar Mayyas +2 more
wiley +1 more source
On Berezin norm and Berezin number inequalities for sum of operators
Demonstratio MathematicaThe aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space.
Altwaijry Najla +2 more
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Crouzeix's conjecture, compressions of shifts, and classes of nilpotent matrices
Concrete OperatorsThis article studies the level set Crouzeix (LSC) conjecture, which is a weak version of Crouzeix’s conjecture that applies to finite compressions of the shift.
Bickel Kelly +4 more
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A three monoclonal antibody combination potently neutralizes multiple botulinum neurotoxin serotype F subtypes. [PDF]
PLoS One, 2017 Fan Y +8 more
europepmc +1 more source
The higher rank numerical range of nonnegative matrices
Open Mathematics, 2013 Aretaki Aikaterini, Maroulas Ioannis
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Genetic aberrations in glioblastoma multiforme: translocation of chromosome 10 in an O-2A-like cell line. [PDF]
Br J Cancer, 1999 Mao X +9 more
europepmc +1 more source
An 85-kilodalton herpes simplex virus type 1 alpha trans-induction factor (VP16)-VP13/14 fusion protein retains the transactivation and structural properties of the wild-type molecule during virus infection. [PDF]
J Virol, 1994 McKnight JL, Doerr M, Zhang Y.
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