A decomposition theorem for frames and the Feichtinger Conjecture

Casazza, Peter G.; Kutyniok, Gitta ; Speegle, Darrin und Tremain, Janet (21. February 2008): A decomposition theorem for frames and the Feichtinger Conjecture. In: Proceedings of the American Mathematical Society, Vol. 136, No. 6: pp. 2043-2053

Abstract

We will show that every bounded Bessel sequence can be decomposed into two subsets each of which is an arbitrarily small perturbation of a sequence with a finite orthogonal decomposition. As an application of this result we prove that the weak Feichtinger Conjecture is equivalent to the Feichtinger Conjecture.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Bavarian Chair for Mathematical Foundations of Artificial Intelligence
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0002-9939
• Language: English