Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

The compact operators are not complemented in $ \mathcal{B}(\mathcal{H})$


Author: John B. Conway
Journal: Proc. Amer. Math. Soc. 32 (1972), 549-550
MSC: Primary 46.10; Secondary 47.00
DOI: https://doi.org/10.1090/S0002-9939-1972-0288559-1
MathSciNet review: 0288559
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: If $ \mathcal{H}$ is an infinite dimensional Hilbert space then it is shown that the space of compact operators is not complemented in the space of all bounded operators.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46.10, 47.00

Retrieve articles in all journals with MSC: 46.10, 47.00


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0288559-1
Keywords: Hilbert space, bounded operators, compact operators, noncomplemented subspace
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society