Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eventually constant intertwining linear maps between complete locally
  convex spaces   Starting from Sinclair's 1976 work {\it Automatic Continuity of Linear
Operators}, Cambridge University Press, (1976), on automatic continuity of
linear operators on Banach spaces, we prove that sequences of intertwining
continuous linear maps are eventually constant with respect to the separating
space of a fixed linear map. Our proof uses a gliding hump argument. We also
consider aspects of continuity of linear functions between locally convex
spaces and prove that such that a linear function $T$ from the locally convex
space $X$ to the locally convex space $Y$ is continuous whenever the separating
space $G(T)$ is the zero vector in $Y$ and for which $X$ and $Y$ satisfy
conditions for a closed graph theorem.

8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc