15 citations · 24 across the 6 of their papers we have counts for
4 papers · 1 filter
On positivity and roots in operator algebras
Clifford A. Bearden, David P. Blecher, Sonia Sharma
In earlier papers the second author and Charles Read have introduced and studied a new notion of positivity for operator algebras, with an eye to extending certain C*-algebraic res…
Real Operator Algebras and Real Completely Isometric Theory
Sonia Sharma
This paper is a continuation of the program started by Ruan in 2003, of developing real operator space theory. In particular, we develop the theory of real operator algebras. We al…
Ideals and structure of operator algebras
Melahat Almus, David P. Blecher, Sonia Sharma
We continue the study of r-ideals, l-ideals, and HSA's in operator algebras. Some applications are made to the structure of operator algebras, including Wedderburn type theorems fo…
Operator spaces which are one-sided M-Ideals in their bidual
Sonia Sharma
We generalize an important class of Banach spaces, namely the -embedded Banach spaces, to the non-commutative setting of operator spaces. The one-sided -embedded operator spa…