Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral sets for locally bounded operators   In this paper we present some spectral property for quotient bounded
operators and locally bounded operators on locally convex spaces. We introduce
the spectral radius of a quotient bounded operator and we show that the Gelfand
formula for spectral radius and Newmann series have the same properties like in
Banach spaces. Moreover, the geometrical radius of the spectrum is equal with
the spectral radius. Using definitions of V.Troitsky we prove that the spectral
set of a quotient bounded operator is compact set.

16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg