This is an announcement for the paper "Embeddings of M"{u}ntz spaces: the Hilbertian case" by S.Waleed Noor and Dan Timotin.

Abstract: Given a strictly increasing sequence $\Lambda=(\lambda_n)$ of nonegative real numbers, with $\sum_{n=1}^\infty \frac{1}{\lambda_n}<\infty$, the M"untz spaces $M_\Lambda^p$ are defined as the closure in $L^p([0,1])$ of the monomials $x^{\lambda_n}$. We discuss properties of the embedding $M_\Lambda^p\subset L^p(\mu)$, where $\mu$ is a finite positive Borel measure on the interval $[0,1]$. Most of the results are obtained for the Hilbertian case $p=2$, in which we give conditions for the embedding to be bounded, compact, or to belong to the Schatten--von Neumann ideals.

Archive classification: math.FA math.CA

Mathematics Subject Classification: 46E15, 46E20, 46E35

Submitted from: dtimotin@yahoo.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1110.5422

or

http://arXiv.org/abs/1110.5422