BOUNDED QUOTIENTS OF FRAMES

Abstract

We define various notions of boundedness in frames along the lines of similar concepts for subspaces and give characterizations of these in terms of filters. In particular we study in depth the frame-theoretic analogue of subspaces that are known in the literature as almost bounded or H-bounded.

Mathematics Subject Classification (2000): 06D22, 54B05, 54D30.
Quaestiones Mathematicae 28(2005), 55–72.