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math.FA 2

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2026 2

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Primariness and the Primary Factorisation Property

math.FA · 2026-05-20 · unverdicted · novelty 6.0

The authors isolate additional conditions for primary factorization, develop support-reduction tools for uncountable sums, prove primariness of C[0,1]* under negation of CH, and establish a uniform primary factorization theorem for B(ℓ_p).

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  • Primariness and the Primary Factorisation Property math.FA · 2026-05-20 · unverdicted · none · ref 46

    The authors isolate additional conditions for primary factorization, develop support-reduction tools for uncountable sums, prove primariness of C[0,1]* under negation of CH, and establish a uniform primary factorization theorem for B(ℓ_p).

  • Distributional embeddings of the first limit Bourgain-Rosenthal-Schechtman space math.FA · 2026-06-09 · unverdicted · none · ref 6

    Classifies distributional self-embeddings of centered space R_ω^{p,0} as induced by finite Bernoulli factor packings, proves no proper internal compressions, and describes isometries for related spaces.