A remark on generalized Haar systems in L_p, 1 < p < ∞

Alfred David Andrew

Vol. 82 (1979), No. 2, 317–318

DOI: 10.2140/pjm.1979.82.317

Abstract

We show that any chain from a generalized Haar system in L_p is equivalent to the unit vector basis in l_p. The constant of the equivalence depends only on p.

Mathematical Subject Classification 2000

Primary: 46E30

Secondary: 46B15

Milestones

Received: 30 January 1978

Published: 1 June 1979