JEDNOSTKA NAUKOWA KATEGORII A+

Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

Addendum to “Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces" (Colloq. Math. 127 (2012), 105–109)

Tom 137 / 2014

Colloquium Mathematicum 137 (2014), 297-298 MSC: Primary 46E30, 46B15; Secondary 46B25. DOI: 10.4064/cm137-2-12

Streszczenie

It is well known that if $\varphi (t) \equiv t$, then the system $\{ \varphi ^{n}(t)\}_{n=0}^{\infty }$ is not a Schauder basis in $L_{2}[0,1]$. It is natural to ask whether there is a function $\varphi$ for which the power system $\{ \varphi ^{n}(t)\}_{n=0}^{\infty }$ is a basis in some Lebesgue space $L_{p}$. The aim of this short note is to show that the answer to this question is negative.

Autorzy

• Aydin Sh. ShukurovInstitute of Mathematics and Mechanics
NAS of Azerbaijan
Az1141, F. Agayev 9
Baku, Azerbaijan
and
Baku State University
Baku, Azerbaijan
e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Odśwież obrazek