#### 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.

#### 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

#### Included in

Algebra Commons, Discrete Mathematics and Combinatorics Commons, Other Mathematics Commons

## 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