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Algebrability of the set of non-convergent Fourier series

100%

Aron R., Pérez-García D., Seoane-Sepúlveda J.

Studia Mathematica

2006

tom 175

nr 1

83-90

We show that, given a set E ⊂ 𝕋 of measure zero, the set of continuous functions whose Fourier series expansion is divergent at any point t ∈ E is dense-algebrable, i.e. there exists an infinite-dimensional, infinitely generated dense subalgebra of 𝓒(𝕋) every non-zero element of which has a Fourier series expansion divergent in E.

Distinguished subspaces of $L_{p}$ of maximal dimension

88%

Botelho G., Cariello D., Fávaro V., Pellegrino D., Seoane-Sepúlveda J.

Studia Mathematica

2013

tom 215

nr 3

261-280

Let (Ω,Σ,μ) be a measure space and 1 < p < ∞. We show that, under quite general conditions, the set $L_{p}(Ω) - ⋃_{1≤q

Ograniczanie wyników

2 Studia Mathematica

2 Seoane-Sepúlveda J.

1 Aron R.

1 Botelho G.

1 Cariello D.

1 Fávaro V.

1 Pellegrino D.

1 Pérez-García D.

1 2013

1 2006

Wyniki wyszukiwania

Algebrability of the set of non-convergent Fourier series

Distinguished subspaces of $L_{p}$ of maximal dimension