Optimal constants in Khintchine type inequalities for Fermions, Rademachers and q-Gaussian operators

• Autorzy: Buchholz A.

Identyfikatory

DOI

10.4064/ba53-3-9

• Języki publikacji: EN

Abstrakty

EN

For (P_k) being Rademacher, Fermion or q-Gaussian (−1 ≤ q ≤0) operators, we find the optimal constants C_2n, n ∈ N, in the inequality [WZÓR], valid for all finite sequences of operators (A_k) in the non-commutative L_2n space related to a semifinite von Neumann algebra with trace. In particular, C_2n = (2n−1)!! for the Rademacher and Fermion sequences.

Słowa kluczowe

EN

Khintchine inequality; non-commutative analysis; commutation relations; Rademacher functions

PL

nierówność Khintchine'a; analiza nieprzemienna; funkcja Rademachera

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: Vol. 53, no 3
• Strony: 315--321
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Buchholz A.

• Institute of Mathematics, University of Wroclaw, PI. Grunwaldzki 2/4, 50-384 Wroclaw, Poland,

Bibliografia

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