Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representable and continuous functionals on Banach quasi *-algebras   In the study of locally convex quasi *-algebras an important role is played
by representable linear functionals; i.e., functionals which allow a
GNS-construction. This paper is mainly devoted to the study of the continuity
of representable functionals in Banach and Hilbert quasi *-algebras. Some other
concepts related to representable functionals (full-representability,
*-semisimplicity, etc) are revisited in these special cases. In particular, in
the case of Hilbert quasi *-algebras, which are shown to be fully
representable, the existence of a 1-1 correspondence between positive, bounded
elements (defined in an appropriate way) and continuous representable
functionals is proved.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics