Decomposability of nonnegative r-potent operators on L2(X)

Autor:	Thukral, Rashmi Sehgal, Marwaha, Alka
Rok vydání:	2015
Předmět:	Mathematics - Functional Analysis 47A15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 23 Pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1504.04576 Zobrazit plný text záznamu View this record from Arxiv