Strongly irreducible factorization of quaternionic operators and Riesz decomposition theorem
From MaRDI portal
Publication:2218280
DOI10.1007/s43037-020-00084-9OpenAlexW3093412955MaRDI QIDQ2218280
Publication date: 15 January 2021
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.03075
strongly irreducible operatorquaternionic Hilbert spaceRiesz decomposition theorem\(S\)-specturmaxially symmetric set
Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Quaternionic operator theory (47S05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Square root for backward operator weighted shifts with multiplicity 2
- A new resolvent equation for the \(S\)-functional calculus
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- Spectral theory on the S-spectrum for quaternionic operators
- Spectral theorem for quaternionic normal operators: multiplication form
- On a factorization of operators as a product of an essentially unitary operator and a strongly irreducible operator
- Geometry and operator theory on quaternionic Hilbert spaces
- The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
- On the polar decomposition of right linear operators in quaternionic Hilbert spaces
- CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
- On a factorization of operators on finite dimensional Hilbert spaces
- Borel functional calculus for quaternionic normal operators
- Some Theorems On Matrices With Real Quaternion Elements
- Quaternions and matrices of quaternions
This page was built for publication: Strongly irreducible factorization of quaternionic operators and Riesz decomposition theorem