scholarly journals Convergence Analysis of Processes with Valiant Projection Operators in Hilbert Space

2017 ◽  
Vol 176 (1) ◽  
pp. 35-56 ◽  
Author(s):  
Yair Censor ◽  
Rafiq Mansour
Keyword(s):  
Hilbert Space ◽  
Convergence Analysis ◽  
Projection Operators

scholarly journals Construction of Schauder decomposition on banach spaces of periodic functions

1998 ◽  
Vol 41 (1) ◽  
pp. 61-91 ◽  
Author(s):  
Say Song Goh ◽  
S. L. Lee ◽  
Zuowei Shen ◽  
W. S. Tang
Keyword(s):  
Banach Space ◽  
Hilbert Space ◽  
Banach Spaces ◽  
Biorthogonal System ◽  
The Other ◽  
Projection Operators ◽  
Reconstruction Algorithms ◽  
Periodic Functions ◽  
Orthogonal Projections ◽  
Wavelet Decompositions

This paper deals with Schauder decompositions of Banach spaces X2π of 2π-periodic functions by projection operators Pk onto the subspaces Vk, k = 0,1,…, which form a multiresolution of X2π,. The results unify the study of wavelet decompositions by orthogonal projections in the Hilbert space on one hand and by interpolatory projections in the Banach space C2π on the other. The approach, using “orthogonal splines”, is constructive and leads to the construction of a Schauder decomposition of X2π and a biorthogonal system for X2π, and its dual X2π. Decomposition and reconstruction algorithms are derived from the construction.

Hilbert Space

1993 ◽  
Author(s):  
J. R. Retherford
Keyword(s):  
Hilbert Space
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