Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fenchel-Rockafellar Theorem in Infinite Dimensions via Generalized
  Relative Interiors   In this paper we provide further studies of the Fenchel duality theory in the
general frame work of locally convex topological vector (LCTV) spaces. We prove
the validity of the Fenchel strong duality under some qualification conditions
via generalized relative interiors imposed on the epigraphs and the domains of
the functions involved. Our results directly generalize the classical
Fenchel-Rockafellar theorem on strong duality from finite dimensions to LCTV
spaces.

11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn