Hermitian operators on $H^{∞}_E$ and $S^{∞}_{}$

James Jamison

Hermitian operators on

H_{E}^{\infty}

and

S_{}^{\infty}

James Jamison

Colloquium Mathematicae, Tome 131 (2013), p. 51-59 / Harvested from The Polish Digital Mathematics Library

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Résumé

A complete characterization of bounded and unbounded norm hermitian operators on $H_{E}^{\infty}$ is given for the case when E is a complex Banach space with trivial multiplier algebra. As a consequence, the bi-circular projections on $H_{E}^{\infty}$ are determined. We also characterize a subclass of hermitian operators on $S_{}^{\infty}$ for a complex Hilbert space.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:283790

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     author = {James Jamison},
     title = {Hermitian operators on $H^{$\infty$}\_E$ and $S^{$\infty$}\_{}$
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     journal = {Colloquium Mathematicae},
     volume = {131},
     year = {2013},
     pages = {51-59},
     language = {en},
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James Jamison. Hermitian operators on $H^{∞}_E$ and $S^{∞}_{}$
            . Colloquium Mathematicae, Tome 131 (2013) pp. 51-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm130-1-5/