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Complexity of weakly null sequences

100%

Alspach D. E., Argyros S.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS 0. Introduction.................................................................................................5 1. Preliminaries...............................................................................................6 2. Weakly null sequences and the l¹-index......................................................9 3. Comparison with the l¹-index.....................................................................12 4. Construction of weakly null sequences with large oscillation index............21 5. Reflexive spaces with large oscillation index.............................................33 6. Comparison with the averaging index........................................................37 References....................................................................................................43

Wavelet bases in $L^{p}(ℝ)$

98%

Gripenberg G.

Studia Mathematica

1993

tom 106

nr 2

175-187

It is shown that an orthonormal wavelet basis for $L^2(ℝ)$ associated with a multiresolution is an unconditional basis for $L^p(ℝ)$, 1 < p < ∞, provided the father wavelet is bounded and decays sufficiently rapidly at infinity.

Ograniczanie wyników

1 Studia Mathematica

1 Alspach D. E.

1 Argyros S.

1 Gripenberg G.

1 1993

1 1992

Wyniki wyszukiwania

Complexity of weakly null sequences

Wavelet bases in $L^{p}(ℝ)$