Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial isometries and the conjecture of C. K. Fong and S. K. Tsui   We investigate some bounded linear operators T on a Hilbert space which
satisfy the condition |T | less or equal to |ReT |. We describe the maximum
invariant subspace for a contraction T on which T is a partial isometry to
obtain that, in certain cases, the above condition ensures that T is
self-adjoint. In other words we show that the Fong-Tsui conjecture holds for
partial isometries, contractive quasi-isometries, or 2-quasi-isometries, and
Brownian isometries of positive covariance, or even for a more general class of
operators.

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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat