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Strictly singular non‐compact operators on a class of HI spaces

Strictly singular non‐compact operators on a class of HI spaces We present a general method for constructing bounded strictly singular non‐compact operators on mixed Tsirelson spaces defined either by the families (풜n) or (풮n) of a certain class, as well as on spaces built on them, including hereditarily indecomposable spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Strictly singular non‐compact operators on a class of HI spaces

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References (25)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/bds111
Publisher site
See Article on Publisher Site

Abstract

We present a general method for constructing bounded strictly singular non‐compact operators on mixed Tsirelson spaces defined either by the families (풜n) or (풮n) of a certain class, as well as on spaces built on them, including hereditarily indecomposable spaces.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Jun 1, 2013

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