Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locally convex quasi $C^*$-normed algebras   If $\ca_0[|\cdot|_0]$ is a $\cs$-normed algebra and $\tau$ a locally convex
topology on $\ca_0$ making its multiplication separately continuous, then
$\widetilde{\ca_0}[\tau]$ (completion of $\ca_0[\tau]$) is a locally convex
quasi *-algebra over $\ca_0$, but it is not necessarily a locally convex quasi
*-algebra over the $\cs$-algebra $\widetilde{\ca_0}[|\cdot|_0]$ (completion of
$\ca_0[|\cdot|_0]$). In this article, stimulated by physical examples, we
introduce the notion of a locally convex quasi $\cs$-normed algebra, aiming at
the investigation of $\widetilde{\ca_0}[\tau]$; in particular, we study its
structure, *-representation theory and functional calculus.

30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con