Fredholm operators and essential S-spectrum in the quaternionic setting

DOI10.1063/1.5040017OpenAlexW2801055298WikidataQ129115533 ScholiaQ129115533MaRDI QIDQ4556648

K. Thirulogasanthar, B. Muraleetharan

Publication date: 16 November 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01461

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operator methods in interpolation, moment and extension problems (47A57)

Related Items (17)

Slice regular weighted composition operators ⋮ PseudoS-spectrum in a right quaternionic Hilbert space ⋮ Berberian extension and its \(S\)-spectra in a quaternionic Hilbert space ⋮ Numerical range of quaternionic right linear bounded operators ⋮ S-spectrum of quaternionic right linear bounded operators ⋮ Properties of Fredholm, Weyl and Jeribi essential S-spectra in a right quaternionic Hilbert space ⋮ Demicompact operators and ellipsoid spectra on quaternionic Hilbert spaces ⋮ Kato S-spectrum in the quaternionic setting ⋮ Fredholm theory in quaternionic Banach algebras ⋮ Characterization of the condition S-spectrum of a compact operator in a right quaternionic Hilbert space ⋮ Weyl and Browder S-spectra in a right quaternionic Hilbert space ⋮ Essential S-spectrum for quaternionic quasi-compact operators on right quaternionic Hilbert spaces ⋮ Composition operators on generalized Fock spaces of slice hyperholomorphic functions ⋮ The spectral theorem for normal operators on a Clifford module ⋮ Riesz projection and essential \(S\)-spectrum in quaternionic setting ⋮ Universality property of the \(S\)-functional calculus, noncommuting matrix variables and Clifford operators ⋮ Demicompactness results and Frobenuis Schur's decomposition for block operator matrices in right quaternionic Hilbert spaces

Cites Work

• Non commutative functional calculus: bounded operators
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• On some properties of the quaternionic functional calculus
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• Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• Coherent state quantization of quaternions
• Spectral Theory of Operators on Hilbert Spaces
• Spectral Theory and Applications of Linear Operators and Block Operator Matrices
• Dirac solutions for quaternionic potentials
• Functional Analysis
• Normal Operators on Quaternionic Hilbert Spaces
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