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.)
|