# Hyperinvariant Subspaces of Operators with Non-Vanishing Orbits

## Proceedings of the American Mathematical Society / v.127 no.5. 1999, pp.1363-1370 window.___gcfg = {lang: 'ko'}; (function() { var po = document.createElement('script'); po.type = 'text/javascript'; po.async = true; po.src = 'https://apis.google.com/js/platform.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(po, s); })();

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Abstract : It is shown that if the Banach space operator T has regular norm-sequence, its vector orbits are asymptotically non-vanishing and there exists a complete vector orbit satisfying the growth condition of non-quasianalycity, then T has infinitely many disjoint hyperinvariant subspaces.

Keyword : Primary 47A15, 47A60

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