Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms
Copyright policy )Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms
Albiac and Wojtaszczyk introduced property (A) to characterize $1$-greedy bases. Later, Dilworth et al. generalized the concept to $C$-property (A), where the case $C = 1$ gives property (A). They (among other results) characterized greedy bases by unconditionality and $C$-property (A). In this paper, we extend the definition of the so-called A-property constant to (A,$τ$)-property constants and use the extension to obtain new estimates for various Lebesgue parameters. Furthermore, we study the relation among (A,$τ$)-property constants and other well-known constants when $τ$ varies.
28 pages, 0 figure. Comments are welcome
- University of Illinois at Urbana Champaign United States
partially greedy, Mathematics - Functional Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), 41A65, 46B15, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, FOS: Mathematics, greedy, property (A), almost greedy, Functional Analysis (math.FA)
partially greedy, Mathematics - Functional Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), 41A65, 46B15, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, FOS: Mathematics, greedy, property (A), almost greedy, Functional Analysis (math.FA)
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