Decomposability of nonnegative r-potent operators on L2(X)
Functional Analysis
2015-04-20 v1
Abstract
We investigate the decomposability of nonnegative compact r-potent operators on a separable Hilbert space L2(X). We provide a constructive algorithm to prove that basis functions of range spaces of nonnegative r-potent operators can be chosen to be all nonnegative and mutually orthogonal. We use this orthogonality to establish that nonnegative compact r-potent operators with range spaces of dimension strictly greater than r-1 are decomposable.
Keywords
Cite
@article{arxiv.1504.04576,
title = {Decomposability of nonnegative r-potent operators on L2(X)},
author = {Rashmi Sehgal Thukral and Alka Marwaha},
journal= {arXiv preprint arXiv:1504.04576},
year = {2015}
}
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23 Pages