Frames and non linear approximations in Hilbert spaces

K. T. Poumai; S. K. Kaushik

doi:10.3103/S1068362316010052

Frames and non linear approximations in Hilbert spaces

Authors: Poumai K.T.¹, Kaushik S.K.¹
Affiliations:
1. University of Delhi
Issue: Vol 51, No 1 (2016)
Pages: 41-49
Section: Real and Complex Analysis
URL: https://journals.rcsi.science/1068-3623/article/view/227888
DOI: https://doi.org/10.3103/S1068362316010052
ID: 227888

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Abstract

A simple proof of the proposition, stated in ([2], p. 346), asserting that in Hilbert spaces a Riesz basis is greedy, is given. Also, greedy approximant for frames in Hilbert spaces is defined and it is shown that frames satisfy the quasi greedy and almost greedy conditions. Finally, we give the characterizations of approximation spaces A^s(Ψ), A_q^s(Ψ) by means of weak-l_p and Lorentz sequence spaces for frames.