Unbounded approximate identities in algebras of compact operators on Banach spaces

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 134, Issue 1, 2003, Pages 187-192

  Zhang, Yong ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037289099     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0305004102006229     Document Type: Conference Paper

References (9)

1. E. BERKSON and H. PORTA. Representations of B(X). J. Funct. Anal. 3 (1969), 1-34.
2. J. DIXMIER. C*-algebras (North-Holland, 1977).
3. P. G. DIXON. Left approximate identities in algebras of compact operators on Banach spaces. Proc. Royal Soc. Edinburgh 104A (1986), 169-175.
4. R. S. DORAN and J. WICHMANN. Approximate identities and factorization in Banach modules. Lecture Notes in Math., vol. 768 (Springer-Verlag, 1979).
5. N. DUNFORD and J. T. SCHWARTZ. Linear operators. Part I. General theory (Wiley & Sons, 1988).
6. N. GRØNBÆK and G. A. WILLIS. Approximate identities in Banach algebra of compact operators. Canad. Math. Bull. 36 (1993), 45-53.
7. J. LINDENSTRAUSS and L. TZAFRIRI. Classical Banach spaces I (Springer-Verlag, 1977).
8. T. W. PALMER. Banach algebra and the general theory of *-algebras, vol. I (Cambridge University Press, 1994).
9. C. SAMUEL. Bounded approximate identities in the algebra of compact operators on a Banach space. Proc. Amer. Math. Soc. 117 (1993), 1093-1096.