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)

 

 

A factorization theorem for compact operators


Author: Daniel J. Randtke
Journal: Proc. Amer. Math. Soc. 34 (1972), 201-202
MSC: Primary 47B05
DOI: https://doi.org/10.1090/S0002-9939-1972-0295135-3
MathSciNet review: 0295135
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that every compact operator $ T:E \to F$ between Banach spaces admits a compact factorization ($ T = QP$ where $ P:E \to c$ and $ Q:c \to F$ are compact) through a closed subspace c of the Banach space $ {c_0}$ of zero-convergent sequences.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B05

Retrieve articles in all journals with MSC: 47B05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0295135-3
Keywords: Banach space, compact operator, approximation property, Hilbert space
Article copyright: © Copyright 1972 American Mathematical Society