On the polar decomposition of right linear operators in quaternionic Hilbert spaces

DOI10.1063/1.4945314zbMath1336.47013arXiv1512.06621OpenAlexW3103906203MaRDI QIDQ2804983

P. Santhosh Kumar, Golla Ramesh

Publication date: 9 May 2016

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

Full work available at URL: https://arxiv.org/abs/1512.06621

zbMATH Keywords

partial isometry

Mathematics Subject Classification ID

Canonical models for contractions and nonselfadjoint linear operators (47A45) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (3)

A note on convexity of sections of quaternionic numerical range ⋮ Strongly irreducible factorization of quaternionic operators and Riesz decomposition theorem ⋮ Borel functional calculus for quaternionic normal operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart \& Winston, Inc.
• Matrices of quaternions
• The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• On the uniqueness of the polar decomposition of bounded operators in Hilbert spaces
• Diagonalization of Bounded Linear Operators on Separable Quaternionic Hilbert Space
• On the inversion of the Weyl transform
• The Weyl transform of distributions
• Solving simple quaternionic differential equations
• Principle of General Q Covariance
• A Note on Square Roots of Positive Operators

This page was built for publication: On the polar decomposition of right linear operators in quaternionic Hilbert spaces