Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locally octahedral and locally almost square K\"othe-Bochner spaces   It has been proved in [J.-D. Hardtke, J. Math. Phys. Anal. Geom. 16, no.2,
119--137 (2020)] that a K\"othe-Bochner space $E(X)$ is locally
octahedral/locally almost square if $X$ has the respective property and the
simple functions are dense in $E(X)$. Here we show that the result still holds
true without the density assumption. The proof makes use of the
Kuratowski-Ryll-Nardzewski Theorem on measurable selections.

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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex