Spectral Inclusion Properties of Quaternionic Krein Space Numerical Range

DOI10.1134/S0016266323050027MaRDI QIDQ6495803

Kamel Mahfoudhi

Publication date: 2 May 2024

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Cites Work

• Unnamed Item
• On the numerical radius of a quaternionic normal operator
• Non commutative functional calculus: bounded operators
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• On the formulations of the quaternionic functional calculus
• Spectral theory on the S-spectrum for quaternionic operators
• Quaternionic numerical range of complex matrices
• A note on convexity of sections of quaternionic numerical range
• The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
• Convexity of the upper complex plane part of the numerical range of a quaternionic matrix
• Shapes and computer generation of numerical ranges of Krein space operators
• Inner Product Spaces and Krein Spaces in the Quaternionic Setting
• Quaternions and matrices of quaternions
• Quaternionic Davis-Wielandt shell in a right quaternionic Hilbert space

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