Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces

• Autorzy: Aydin Sh. Shukurov
• Języki publikacji: EN

Abstrakty

EN

A necessary condition for Kostyuchenko type systems and system of powers to be a basis in $L_{p}$ (1 ≤ p < +∞) spaces is obtained. In particular, we find a necessary condition for a Kostyuchenko system to be a basis in $L_{p}$ (1 ≤ p < +∞).

Kategorie tematyczne

• 34L10: Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46B15: Summability and bases

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 127
• Numer: 1
• Strony: 105-109

Daty

wydano

2012

Twórcy

autor

Aydin Sh. Shukurov

• Institute of Mathematics and Mechanics, NAS of Azerbaijan, Az1141, F. Agayev 9, Baku, Azerbaijan
• Baku State University, Baku, Azerbaijan

Identyfikatory

DOI

10.4064/cm127-1-7