Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 7, Number 4 (2016), 686-690.
Dense Banach subalgebras of the null sequence algebra which do not satisfy a differential seminorm condition
We construct dense Banach subalgebras of the null sequence algebra which are spectral-invariant but do not satisfy the -condition for all . The sequences in vanish in a skewed manner with respect to an unbounded function .
Ann. Funct. Anal., Volume 7, Number 4 (2016), 686-690.
Received: 12 May 2016
Accepted: 20 July 2016
First available in Project Euclid: 5 October 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46L87: Noncommutative differential geometry [See also 58B32, 58B34, 58J22]
Secondary: 46H10: Ideals and subalgebras 46J10: Banach algebras of continuous functions, function algebras [See also 46E25] 46B45: Banach sequence spaces [See also 46A45] 46K99: None of the above, but in this section
Schweitzer, Larry B. Dense Banach subalgebras of the null sequence algebra which do not satisfy a differential seminorm condition. Ann. Funct. Anal. 7 (2016), no. 4, 686--690. doi:10.1215/20088752-3661242. https://projecteuclid.org/euclid.afa/1475685115