Displaying similar documents to “Convergence in the dual of certain K M p -spaces”

On C * -spaces

P. Srivastava, K. K. Azad (1981)

Matematički Vesnik

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Convergence of greedy approximation I. General systems

S. V. Konyagin, V. N. Temlyakov (2003)

Studia Mathematica

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We consider convergence of thresholding type approximations with regard to general complete minimal systems eₙ in a quasi-Banach space X. Thresholding approximations are defined as follows. Let eₙ* ⊂ X* be the conjugate (dual) system to eₙ; then define for ε > 0 and x ∈ X the thresholding approximations as T ε ( x ) : = ∑ j ∈ D ε ( x ) e * j ( x ) e j , where D ε ( x ) : = j : | e * j ( x ) | ≥ ε . We study a generalized version of T ε that we call the weak thresholding approximation. We modify the T ε ( x ) in the following way. For ε > 0, t ∈ (0,1) we set D t , ε ( x ) : = j : t ε ≤ | e * j ( x ) | < ε and consider...