Demicompactness results and Frobenuis Schur's decomposition for block operator matrices in right quaternionic Hilbert spaces
type: Item
instance of: scholarly article
title: Demicompactness results and Frobenuis Schur's decomposition for block operator matrices in right quaternionic Hilbert spaces
author: Aymen Ammar
author: Dorsaf Kouas
author: Nawrez Lazrag
published in: Complex Analysis and Operator Theory
publication date: 2023-01-17T00:00:00Z
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 7642878
zbMATH Keywords: quaternionic Hilbert space
zbMATH Keywords: pseudo-resolvent operator
zbMATH Keywords: demicompact operator
zbMATH Keywords: matrix operator
zbMATH Keywords: Fredholm and semi-Fredholm operators
MaRDI profile type: Publication
full work available at URL: s11785-022-01309-5
OpenAlex ID: W4313400689
cites work: Q3127106
cites work: Schur functions and their realizations in the slice hyperholomorphic setting
cites work: Generalized Quaternionic Schur Functions in the Ball and Half-space and Krein–Langer Factorization
cites work: Slice hyperholomorphic Schur analysis
cites work: Demicompact operators and ellipsoid spectra on quaternionic Hilbert spaces
cites work: PseudoS-spectrum in a right quaternionic Hilbert space
cites work: Quantum mechanics of the quaternionic Hilbert spaces based upon the imprimivity theorem
cites work: On the formulations of the quaternionic functional calculus
cites work: Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
cites work: Spectral theory on the S-spectrum for quaternionic operators
cites work: Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes
cites work: Continuous slice functional calculus in quaternionic Hilbert spaces
cites work: Quaternion quantum mechanics: Second quantization and gauge fields
cites work: Q4110164
cites work: Fredholm operators and essential S-spectrum in the quaternionic setting
cites work: Weyl and Browder S-spectra in a right quaternionic Hilbert space
cites work: Construction of fixed points of demicompact mappings in Hilbert space
cites work: Remarks on condensing and \(k\)-set-contractive mappings
cites work: Quaternions and matrices of quaternions
DOI: 10.1007/S11785-022-01309-5
description: scientific article; zbMATH DE number 7642878