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A note on d-ideals in some near-algebras

Published online by Cambridge University Press:  09 April 2009

Sadayuki Yamamuro
Sadayuki Yamamuro
Affiliation:
Institute of Advanced StudiesThe Australian National University
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Let E be a real Banach space. The set of all continuous linear mappings of E into E is a Banach algebra under the usual algebraic operations and the operator bound as norm. We denote this Banach algebra by ℒ, if E is a separate Hilbert space.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 2 , May 1967 , pp. 129 - 134
Copyright
Copyright © Australian Mathematical Society 1967

References

[1]Calkin, J. W., ‘Two-sided ideals and congruences in the ring of bounded operators in Hilbert space’, Ann. of Math. 42 (1941), 839–873.CrossRefGoogle Scholar
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[3]Yamamuro, S., ‘On near-algebras of mappings on Banach spaces’, Proc. Japan Acad. 41 (1965), 889–892.Google Scholar
[4]Yamamuro, S., ‘Ideals and homomorphisms in some near-algebras’, Proc. Japan Acad. 42 (1966), 427–432.Google Scholar
[5]Zassenhaus, H., Lehrbuch der Gruppentheorie (Berlin, 1937).Google Scholar