Frames and non linear approximations in Hilbert spaces
- Авторлар: Poumai K.1, Kaushik S.1
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Мекемелер:
- University of Delhi
- Шығарылым: Том 51, № 1 (2016)
- Беттер: 41-49
- Бөлім: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/227888
- DOI: https://doi.org/10.3103/S1068362316010052
- ID: 227888
Дәйексөз келтіру
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.
Негізгі сөздер
Авторлар туралы
K. Poumai
University of Delhi
Хат алмасуға жауапты Автор.
Email: kholetim@yahoo.co.in
Үндістан, Delhi
S. Kaushik
University of Delhi
Email: kholetim@yahoo.co.in
Үндістан, Delhi