Primarité de \(L^ p(L^ r)\), \(1

DOI10.1007/BF02765013zbMath0491.46012OpenAlexW1969516152MaRDI QIDQ1167378

Michele Capon

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02765013

zbMATH Keywords

Haar basisprimarity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (11)

The l ^∞ direct sum of L ^p (1 < p < ∞) is primary ⋮ Factorization in \(\mathrm{SL}^{\infty}\) ⋮ Continuity of operators in spaces of vector functions, with applications to the theory of bases ⋮ Factorization property in rearrangement invariant spaces ⋮ Some elementary properties of Bernstein-Kantorovich operators on mixed norm Lebesgue spaces and their implications in fractal approximation ⋮ Strategically reproducible bases and the factorization property ⋮ Factorization in mixed norm Hardy and BMO spaces ⋮ Factorization of the identity through operators with large diagonal ⋮ The factorisation property ofl^∞(X_k) ⋮ Factorisation in stopping-time Banach spaces: identifying unique maximal ideals ⋮ The space is primary for 1 < p < ∞

Cites Work

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• Primarite de \(L^p(\ell_r),1<p,r<\infty\)
• On subsequences of the Haar system in \(L_p [0,1\), \((1<p<\infty)\)]
• Unconditional bases and martingales in L_P(F)

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