Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-24T17:00:24.468Z Has data issue: false hasContentIssue false
  • English
  • Français

On Intertwining and Factorization by Self-Adjoint Operators

Published online by Cambridge University Press:  20 November 2018

C.-S. Lin  and
M. Radjabalipour
C.-S. Lin
Affiliation:
St. Thomas University, Fredericton, N. B., Canada
M. Radjabalipour
Affiliation:
Reza Shah Kabir University, Iran
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we first study the equality of two operators whose values at each point satisfy certain inequalities, and then, somehow related, we examine the possibility of writing certain operators as products of two self-ad joint operators.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 1 , 01 March 1978 , pp. 47 - 51
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Fong, C. K. and Radjabalipour, M., On quasiaffine transforms of spectral operators, Michigan Math. J. 23 (1976), 147-150.Google Scholar
2. Halmos, P. R., A Hilbert Space Problem Book, Van Nostrand, Princeton, 1967.Google Scholar
3. Radjabalipour, M., On majorization and normality of operators, Proc. Amer. Math. Soc, 62 (1977), 105-110.Google Scholar
4. Radjavi, H., On self-adjoint factorization of operators, Can. J. Math. 21 (1969), 1421-1426.Google Scholar
5. Radjavi, H. and Williams, J. P., Product of self-adjoint operators, Michigan Math. J. 16 (1969), 177-185.Google Scholar
6. Stampfli, J. G. and Wadhwa, B. L., An asymmetric Putnam-Fuglede theorem for dominantoperators, Ind. Univ. Math. J. 25 (1976), 359-365.Google Scholar
7. Williams, J. P., Operators similar to their adjoints, Proc. Amer. Math. Soc, 20 (1969), 121-123.Google Scholar