Isomorphisms and projections for quotient-spaces of \({\mathcal L}_ 1\)- spaces by their reflexive subspaces

DOI10.1007/BF01741581zbMath0596.46009MaRDI QIDQ1078472

Sergei V.Kislyakov

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

projectionsisomorphismsquotient-spacesreflexive subspacesscript \(L_ 1\)-space

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) Geometry and structure of normed linear spaces (46B20)

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Cites Work

• Unnamed Item
• Geometry of Banach spaces. Selected topics
• Automorphisms in \(c_0\), \(\ell_1\) and \(m\)
• The \(L_ p\) spaces
• On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
• Banach spaces whose duals are isomorphic to \(l_1(\Gamma)\)

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