The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces

Details The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces

2010-04-08

arxiv.org/abs/1004.1415v2

Mathematics

Functional Analysis

15 pages

Scientific paper

We prove two new equivalences of the Feichtinger conjecture that involve reproducing kernel Hilbert spaces. We prove that if for every Hilbert space, contractively contained in the Hardy space, each Bessel sequence of normalized kernel functions can be partitioned into finitely many Riesz basic sequences, then a general bounded Bessel sequence in an arbitrary Hilbert space can be partitioned into finitely many Riesz basic sequences. In addition, we examine some of these spaces and prove that for these spaces bounded Bessel sequences of normalized kernel functions are finite unions of Riesz basic sequences.

Affiliated with

Also associated with

No associations

Rating

The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-220184