Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On positive embeddings of C(K) spaces   We investigate isomorphic embeddings $T: C(K)\to C(L)$ between Banach spaces
of continuous functions. We show that if such an embedding $T$ is a positive
operator then $K$ is an image of $L$ under a upper semicontinuous set-function
having finite values. Moreover we show that $K$ has a $\pi$-base of sets which
closures a continuous images of compact subspaces of $L$. Our results imply in
particular that if $C(K)$ can be positively embedded into $C(L)$ then some
topological properties of $L$, such as countable tightness of Frechetness, pass
to the space $K$. We show that some arbitrary isomorphic embeddings $C(K)\to
C(L)$ can be, in a sense, reduced to positive embeddings.

35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga