An irreducible semigroup of non-negative square-zero operators |
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| Authors: | R. Drnovšek D. Kokol-Bukovšek L. Livshits G. MacDonald M. Omladič H. Radjavi |
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| Affiliation: | (1) Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia;(2) Department of Mathematics and Computer Science, Colby College, 04901 Waterville, ME, USA;(3) Department of Math and CS, University of Prince, C1A 4P3 Edward Island Charlottetown, PEI, Canada;(4) Department of Math, Stats and CS, Dalhousie University, B3H 3J3 Halifax, NS, Canada |
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| Abstract: | We construct an irreducible multiplicative semigroup of non-negative square-zero operators acting onLp[0,1), for 1 p< .The main idea for this paper was developed at the 2nd Linear Algebra Workshop at Bled, Slovenia, in June 1999.The work of the three Slovenian authors was supported by the Research Ministry of Slovenia.This author's work was supported by a Division grant from Colby College. |
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| Keywords: | Primary 47A15 47D03 Secondary 15A30 |
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