A partial spectral reduction for positive linear operators

DOI10.1007/BF01194004zbMath0583.47004MaRDI QIDQ1070184

Peter Meyer-Nieberg

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Banach latticespectral radiuspositive linear operatorcompact operatorspartial spectral reductionshift operators on \(\ell ^ p\)

Mathematics Subject Classification ID

Banach lattices (46B42) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on ordered spaces (47B60)

Related Items (4)

An interpolation result for the spectral radius ⋮ On the local spectral theory for positive and non-positive operators ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ On the invariant faces associated with a cone-preserving map

Cites Work

• Invariant ideals of positive operators in \(C(X)\). I
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