ON WEAK AND STRONG CONVERGENCE OF POSITIVE CONTRACTIONS IN L p SPACES

@inproceedings{AKCOGLUl2007ONWA,
  title={ON WEAK AND STRONG CONVERGENCE OF POSITIVE CONTRACTIONS IN L p SPACES},
  author={M. A. AKCOGLUl and L. SUCHESTON},
  year={2007}
}
  • M. A. AKCOGLUl, L. SUCHESTON
  • Published 2007
The theorem is already known for p = 1 and for p = 2, even for not necessarily positive contractions ([2], [5]). SKETCH OF PROOF . (i) The implication (B) => (A) is easy and holds in more general situations (cf. [5]). Hence we only prove (A) => (B). (ii) If G is the largest set such that G supports a ^invariant function g, then fGLp(G) implies that TfeLp(G… CONTINUE READING