Two Banach space methods and dual operator algebras

In this paper we present several new slightly nonlinear variants of the bipolar and the open mapping theorems in Banach spaces, which we abstracted from the recent developments in the theory of dual operator algebras.A new application of our techniques to the theory of operator algebras is also given.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/27530/1/0000574.pd