ACTA issues

Projections on some vector valued function spaces

Nadia J. Gal, Raena King

Acta Sci. Math. (Szeged) 80:3-4(2014), 499-510

Abstract. We determine when the average of two isometries on a Banach space of analytic vector valued functions is a projection. We also characterize the generalized bi-circular projections on a Banach space of absolutely continuous vector valued functions.

DOI: 10.14232/actasm-013-781-8

AMS Subject Classification (1991): 30D05

Keyword(s): bi-circular projections, Hardy spaces, isometry, convex combination of isometries

Received May 21, 2013, and in revised form February 14, 2014. (Registered under 31/2013.)