Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Character Generating Functions on Banach Algebras   We consider a multiplicative variation on the classical
Kowalski-S\l{}odkowski Theorem which identifies the characters among the
collection of all functionals on a Banach algebra $A$. In particular we show
that, if $A$ is a $C^*$-algebra, and if $\phi:A\mapsto\mathbb C$ is a
continuous function satisfying $\phi(\mathbf 1)=1$ and $\phi(x)\phi(y) \in
\sigma(xy)$ for all $x,y\in A$ (where $\sigma$ denotes the spectrum), then
$\phi$ generates a corresponding character $\psi_\phi$ on $A$ which coincides
with $\phi$ on the principal component of the invertible group of $A$. We also
show that, if $A$ is any Banach algebra whose elements have totally
disconnected spectra, then, under the aforementioned conditions, $\phi$ is
always a character.

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The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: stat