# Approximation of p-multiplier Operators via their Spectral Projections

Approximation of p-multiplier Operators via their Spectral Projections Conditions for a p-multiplier $$\psi: {\mathbb{Z}} \to {\mathbb{C}}$$ are presented which ensure that the corresponding operator T ψ , acting in $$L^p({\mathbb{T}})$$ , can be approximated by linear combinations of p-multiplier projections coming from the uniform operator closed, unital algebra of operators generated by T ψ . Functions of bounded variation on $${\mathbb{Z}}$$ play an important role, as do certain Λ (p)-sets. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

# Approximation of p-multiplier Operators via their Spectral Projections

, Volume 12 (1) – Oct 29, 2007
18 pages

/lp/springer_journal/approximation-of-p-multiplier-operators-via-their-spectral-projections-tzAiLtU4Rr
Publisher
Springer Journals
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-007-2139-x
Publisher site
See Article on Publisher Site

### Abstract

Conditions for a p-multiplier $$\psi: {\mathbb{Z}} \to {\mathbb{C}}$$ are presented which ensure that the corresponding operator T ψ , acting in $$L^p({\mathbb{T}})$$ , can be approximated by linear combinations of p-multiplier projections coming from the uniform operator closed, unital algebra of operators generated by T ψ . Functions of bounded variation on $${\mathbb{Z}}$$ play an important role, as do certain Λ (p)-sets.

### Journal

PositivitySpringer Journals

Published: Oct 29, 2007

## You’re reading a free preview. Subscribe to read the entire article.

### DeepDyve is your personal research library

It’s your single place to instantly
that matters to you.

over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month ### Explore the DeepDyve Library ### Search Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly ### Organize Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place. ### Access Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals. ### Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. DeepDyve ### Freelancer DeepDyve ### Pro Price FREE$49/month
\$360/year

Save searches from
PubMed

Create lists to

Export lists, citations