A remark on the uniform zero-two law for positive contractions

DOI10.1007/BF01324724zbMath0702.47019OpenAlexW2034860794MaRDI QIDQ915102

Anton R. Schep

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01324724

zbMATH Keywords

Dedekind complete Banach latticesperipheral order spectrumzero-two law results for positive contractions on Banach lattices

Mathematics Subject Classification ID

Banach lattices (46B42) Spectrum, resolvent (47A10) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (5)

Norms of basic elementary operators on algebras of regular operators ⋮ Two dimensional unital Riesz algebras, their representations and norms ⋮ Banach lattice algebras: some questions, but very few answers ⋮ The zero-two law in Banach lattice algebras ⋮ An extension of the zero-two law on \(L_p\)-spaces

Cites Work

• On power bounded operators
• Ein starkes ``Null-Zwei-Gesetz in \(L^ p\). (A strong ``zero-two law in \(L^ p)\)
• Analogues of the ``zero-two`` law for positive linear contractions in L p and C(X)
• The zero-two law for positive contractions is valid in all Banach lattices
• On the 0-spektrum of regular operators and the spectrum of measures
• The modulus of a regular linear operator and the zero-two law in \(L^ p\)-spaces \((1<p<+\infty,p\neq 2)\)
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