On Algebras Which Are Inductive Limits of Banach Spaces

Authors

Daniel Alpay, Chapman UniversityFollow
Guy Salomon, Ben Gurion University of the Negev

Document Type

Article

Publication Date

2015

Abstract

We introduce algebras which are inductive limits of Banach spaces and carry inequalities which are counterparts of the inequality for the norm in a Banach algebra. We then define an associated Wiener algebra, and prove the corresponding version of the well-known Wiener theorem. Finally, we consider factorization theory in these algebra, and in particular, in the associated Wiener algebra.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Integral Equations and Operator Theory, volume 83, issue 2, in 2015 following peer review. The final publication is available at Springer via DOI: 10.1007/s00020-015-2220-y

Recommended Citation

D. Alpay and G. Salomon. On algebras which are inductive limits of Banach spaces. Integral Equations and Operator Theory, vol. 83, Issue 2 (2015), pp. 211-229.

Peer Reviewed

1

Copyright

Springer