SYMMETRIC FINITE REPRESENTABILITY OF ℓp IN ORLICZ SPACES

DOI10.18287/2541-7525-2020-26-4-15-24OpenAlexW3200511084MaRDI QIDQ5089748

Serguei V. Astashkin

Publication date: 15 July 2022

Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgu637

zbMATH Keywords

Orlicz sequence spaceOrlicz function spaceMatuszewska-Orlicz indices\( \ell^p\)-spacefinite representability of \(\ell^p\)-spacessymmetric finite representability of \(\ell^p\)-spaces

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) Local theory of Banach spaces (46B07) Banach sequence spaces (46B45)

Cites Work

• Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
• Sous-espaces de dimension finie des espaces de Banach reticules
• On a theorem of J. L. Krivine concerning block finite representability of \(\ell^p\) general Banach spaces
• On Orlicz sequence spaces. III
• Finite representability of $ℓ_{p}$-spaces in symmetric spaces
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