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In the shadow of a positive operator

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Publication:1358045
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DOI10.1007/BF02104854zbMath0883.47022MaRDI QIDQ1358045

E. V. Kolesnikov

Publication date: 18 June 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

shadowMaharam operatorlattice homomorphismdominated operatorsband projectionband generated by a regular operatorprincipal bands


Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65)


Related Items (3)

Diffuse and atomic components of a positive operator ⋮ On a band generated by a disjointness preserving orthogonally additive operator ⋮ Disjointness-preserving orthogonally additive operators in vector lattices



Cites Work

  • Decomposition of a positive operator
  • Order-continuous component of a majorized operator
  • Several order projectors generated by ideals of a vector lattice
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