Daniel Berend
Senior Academic
A note on the Lp analogue of the “zero-two” law
T was proved by R. Wittmann [2] that, given a positive linear contraction of Lp (1 ≤ p ≤ ∞), sup∥f∥≤1 limn⟶∞∥Tn f − Tn+1 f∥ is either ≥ αp or 0; the (best possible) value of αp is the lp-norm of a certain 3×3 matrix. In this paper αp is explicitly expressed as a function of p.
| Publication language | English |
| Pages | 95-97 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 114 |
| Issue number | 1 |
| Publication status | Published - 01.01.1992 |
Keywords
Linear contraction
Positive contraction
“Zero-two” law
ASJC Scopus subject areas
General Mathematics
Applied Mathematics
