Riesz projection and essential \(S\)-spectrum in quaternionic setting
From MaRDI portal
Publication:2080176
DOI10.1007/s11785-022-01276-xOpenAlexW3188335753WikidataQ114221737 ScholiaQ114221737MaRDI QIDQ2080176
Sayda Belgacem, Hatem Baloudi, Aref Jeribi
Publication date: 7 October 2022
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.01157
Linear operators defined by compactness properties (47B07) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Quaternionic operator theory (47S05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The spectral theorem for unitary operators based on the \(S\)-spectrum
- Slice hyperholomorphic Schur analysis
- Left-right Fredholm and Weyl spectra of the sum of two bounded operators and applications
- Krein-Langer factorization and related topics in the slice hyperholomorphic setting
- A new resolvent equation for the \(S\)-functional calculus
- Non commutative functional calculus: bounded operators
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- Classes of linear operators. Vol. I
- On essential spectra of operator-matrices and their Feshbach maps.
- Spectral theory on the S-spectrum for quaternionic operators
- Weyl and Browder S-spectra in a right quaternionic Hilbert space
- An introduction to hyperholomorphic spectral theories and fractional powers of vector operators
- Strongly irreducible factorization of quaternionic operators and Riesz decomposition theorem
- Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians
- On a characterization of the essential spectra of some matrix operators and application to two-group transport operators
- A new functional calculus for noncommuting operators
- The essential spectrum of the Laplacian on rapidly branching tessellations
- The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
- CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
- The Fueter mapping theorem in integral form and the ℱ-functional calculus
- The minimum modulus of a linear operator and its use in spectral theory
- Fredholm operators and essential S-spectrum in the quaternionic setting
- Perturbation of normal quaternionic operators
- Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes
- Spectral Theory and Applications of Linear Operators and Block Operator Matrices
- Normal Operators on Quaternionic Hilbert Spaces
- Fredholm theory in quaternionic Banach algebras
This page was built for publication: Riesz projection and essential \(S\)-spectrum in quaternionic setting
