A remark on the multipliers of the Haar basis of L¹[0,1]

• Autorzy: H. M. Wark
• Języki publikacji: EN

Abstrakty

EN

A proof of a necessary and sufficient condition for a sequence to be a multiplier of the normalized Haar basis of L¹[0,1] is given. This proof depends only on the most elementary properties of this system and is an alternative proof to that recently found by Semenov & Uksusov (2012). Additionally, representations are given, which use stochastic processes, of this multiplier norm and of related multiplier norms.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46B03: Isomorphic theory (including renorming) of Banach spaces
• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 227
• Numer: 2
• Strony: 141-148

Daty

wydano

2015

Twórcy

autor

H. M. Wark

• 9 Westwood Terrace, South Bank, York, North Yorkshire, England, United Kingdom, YO23 1HJ

Identyfikatory

DOI

10.4064/sm227-2-4