Frames and non linear approximations in Hilbert spaces
- Авторы: Poumai K.1, Kaushik S.1
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Учреждения:
- University of Delhi
- Выпуск: Том 51, № 1 (2016)
- Страницы: 41-49
- Раздел: 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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Аннотация
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 As(Ψ), Aqs(Ψ) by means of weak-lp and Lorentz sequence spaces for frames.
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Об авторах
K. Poumai
University of Delhi
Автор, ответственный за переписку.
Email: kholetim@yahoo.co.in
Индия, Delhi
S. Kaushik
University of Delhi
Email: kholetim@yahoo.co.in
Индия, Delhi