IJPAM: Volume 100, No. 1 (2015)
Department of Mathematics
Jesus and Mary College
University of Delhi
Chanakyapuri, New Delhi, 110021, INDIA
Abstract. We investigate the decomposability of nonnegative compact -potent operators on a separable Hilbert space . We provide a constructive algorithm to prove that basis functions of range spaces of nonnegative -potent operators can be chosen to be all nonnegative and mutually orthogonal. We use this orthogonality to establish that nonnegative compact -potent operators with range spaces of dimension strictly greater than are decomposable.
Received: October 16, 2014
AMS Subject Classification: 47A15, 47B07
Key Words and Phrases: decomposition, -potent operators, compact
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DOI: 10.12732/ijpam.v100i1.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 29 - 52
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