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
Birkhäuser-Verlag
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

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