LAUSR

Asymptotic Isometries for Lacunary Müntz Spaces and Applications

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0 Published in 2019 at "Integral Equations and Operator Theory"

DOI: 10.1007/s00020-019-2511-9

Abstract: We prove that the normalized sequence $$\big ((p\lambda _n+1)^{1/p}t^{\lambda _n})\big )_{n\in \mathbb {Z}}$$((pλn+1)1/ptλn))n∈Z in $$L^p([0,1])$$Lp([0,1]), up to some truncation, is asymptotically isometric to the canonical basis of $$\ell ^p$$ℓp if and only if it is… read more here.

Keywords: ntz spaces; lambda; isometries lacunary; lacunary ntz ... See more keywords

$$L^2$$L2-Müntz Spaces as Model Spaces

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1 Published in 2019 at "Complex Analysis and Operator Theory"

DOI: 10.1007/s11785-017-0735-8

Abstract: We emphasize a bridge between two areas of function theory: hilbertian Müntz spaces and model spaces of the Hardy space of the right half plane. We give miscellaneous applications of this viewpoint to hilbertian Müntz… read more here.

Keywords: spaces model; ntz spaces; model spaces;

Two properties of Müntz spaces

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1 Published in 2017 at "Demonstratio Mathematica"

DOI: 10.1515/dema-2017-0025

Abstract: Abstract We show that Müntz spaces, as subspaces of C[0, 1], contain asymptotically isometric copies of c0 and that their dual spaces are octahedral. read more here.

Keywords: two properties; ntz spaces; properties ntz;