Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convex combinations of weak*-convergent sequences and the Mackey
  topology   A Banach space $X$ is said to have property (K) if every $w^*$-convergent
sequence in $X^*$ admits a convex block subsequence which converges with
respect to the Mackey topology. We study the connection of this property with
strongly weakly compactly generated Banach spaces and its stability under
subspaces, quotients and $\ell^p$-sums. We extend a result of Frankiewicz and
Plebanek by proving that property (K) is preserved by $\ell^1$-sums of less
than $\mathfrak{p}$ summands. Without any cardinality restriction, we show that
property (K) is stable under $\ell^p$-sums for $1<p<\infty$.

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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph