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Independent functions in symmetric spaces and Kruglov property

· 2008

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Rigidity of sets of independent functions in symmetric spaces

math.FA · 2026-07-07 · accept · novelty 6.0

The (IR) property—rigidity of independent functions against low-dimensional approximation—is established for broad classes of symmetric spaces (Lorentz L_{p,q} with 1<p<2, 1≤q≤2; Orlicz L_{log^α L} with α≥1/2) and shown to fail when the fundamental function grows faster than √t or when ℓ_q (q>2) isl

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  • Rigidity of sets of independent functions in symmetric spaces math.FA · 2026-07-07 · accept · none · ref 4

    The (IR) property—rigidity of independent functions against low-dimensional approximation—is established for broad classes of symmetric spaces (Lorentz L_{p,q} with 1<p<2, 1≤q≤2; Orlicz L_{log^α L} with α≥1/2) and shown to fail when the fundamental function grows faster than √t or when ℓ_q (q>2) isl