Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extreme non-Arens regularity of the group algebra   Following Granirer, a Banach algebra A is extremely non-Arens regular when
the quotient space A*/WAP(A) contains a closed linear subspace which has A* as
a continuous linear image. We prove that the group algebra L^1(G) of any
infinite locally compact group is always extremely non-Arens regular. When G is
not discrete, this result is deduced from the much stronger property that, in
fact, there is a linear isometric copy of L^\infty(G) in the quotient space
L^\infty(G)/CB(G), where CB(G) stands for the algebra of all continuous and
bounded functions on G.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics