Surjective isometries of \(L^ 1 \cap L^ \infty [0, \infty )\) and \(L^ 1 + L^ \infty [0, \infty )\)

DOI10.1016/0019-3577(92)90005-6zbMath0758.46031OpenAlexW2014485074MaRDI QIDQ1196259

Helmut H. Schaefer, Ryszard Grząślewicz

Publication date: 15 December 1992

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(92)90005-6

zbMATH Keywords

weighted composition operatorssurjective isometries

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38)

Related Items (2)

Local geometry of \(L^ 1\cap L^ \infty\) and \(L^ 1+L^ \infty\) ⋮ EXTREME POINT METHODS IN THE STUDY OF ISOMETRIES ON CERTAIN NONCOMMUTATIVE SPACES

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• Isometries of L 1 ∩L p
• Isometries on L p,1
• Isometries on L p Spaces and Copies of l p Shifts
• Isometries of Orlicz spaces
• On the inducing of homomorphisms by mappings

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