Roots in operator and Banach algebras
DOI10.1007/s00020-015-2272-zzbMath1448.47029arXiv1510.00306OpenAlexW2964169949MaRDI QIDQ2629359
David P. Blecher, Zhen-Hua Wang
Publication date: 6 July 2016
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.00306
rootsaccretive operatorfractional powersgeometric meansectorial operatornonselfadjoint operatorbinomial method for square rootNewton method for rootssign of operator
Abstract operator algebras on Hilbert spaces (47L30) Linear accretive operators, dissipative operators, etc. (47B44) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Operator means involving linear operators, shorted linear operators, etc. (47A64)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On positivity and roots in operator algebras
- Real positivity and approximate identities in Banach algebras
- Operator algebras with contractive approximate identities
- On Newton's method and Halley's method for the principal \(p\)th root of a matrix
- On numerical ranges and roots.
- Operator algebras with contractive approximate identities. II
- Numerical ranges of the powers of an operator
- The functional calculus for sectorial operators
- Algorithms for the matrix \(p\)th root
- Growth conitions and the numerical range in a Banach algebra
- Harmonic analysis of operators on Hilbert space
- Principal powers of matrices with positive definite real part
- Order theory and interpolation in operator algebras
- Newton's Method in Banach Spaces
- On the Newton Method for the Matrix Pth Root
- A Family of Rational Iterations and Its Application to the Computation of the Matrix pth Root
- How and Why to Solve the Operator Equation AX −XB = Y
- The Geometric Mean, Matrices, Metrics, and More
- A functional calculus based on the numerical range: applications
- Functions of Matrices
- Generalization of 𝐶*-algebra methods via real positivity for operator and Banach algebras
- The Positive Cone in Banach Algebras
- Fractional powers of operators
This page was built for publication: Roots in operator and Banach algebras