Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If you need an accessible version of this item please contact JSTOR User Support

A Unicellular Universal Quasinilpotent Weighted Shift

Domingo A. Herrero
Proceedings of the American Mathematical Society
Vol. 110, No. 3 (Nov., 1990), pp. 649-652
DOI: 10.2307/2047905
Stable URL: http://www.jstor.org/stable/2047905
Page Count: 4
  • Read Online (Free)
  • Download ($30.00)
  • Cite this Item
If you need an accessible version of this item please contact JSTOR User Support
A Unicellular Universal Quasinilpotent Weighted Shift
Preview not available

Abstract

For a suitably chosen sequence of weights $\{\alpha_n \}$, the unilateral weighted shift Q on $l^p (1 \leq p < \infty)$, defined by Qen = αne n + 1 (n ≥ 1), is a unicellular quasinilpotent operator such that Qk is not compact for any power k ≥ 1. As a corollary, several applications to approximation of Hilbert space operators are given.

Page Thumbnails

  • Thumbnail: Page 
649
    649
  • Thumbnail: Page 
650
    650
  • Thumbnail: Page 
651
    651
  • Thumbnail: Page 
652
    652