Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The minimax principle and related topics in the Jordan setting   We prove a minimax principle for weakly compact JB$^*$-triples characterizing
geometrically the singular values of an element. Among the consequences of this
principle we present a Weyl inequality on the perturbation of the singular
values and a Cauchy-Poincar\'e (interlacing) theorem. We also obtain a version
of the Ky Fan maximum principle in the setting of weakly compact
JB$^*$-triples. We study perturbations of the spectral resolutions showing that
small perturbations of an element produces small perturbations of the
corresponding spectral resolutions. As a consequence we obtain that weakly
compact JB$^*$-triples satisfy the property that perturbations of a convex
combination of elements in the closed unit ball coincide with a convex
combination of perturbations of the elements also in the closed unit ball. All
these results hold true when particularized to weakly compact JB$^*$-algebras.

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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th