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Similarity of Nests in Lp, 1 ≤ p ≠ 2 < ∞

Published online by Cambridge University Press:  20 November 2018

Alvaro Arias  and
Paul Müller
Alvaro Arias
Affiliation:
Division of Mathematics, Computer Science and Statistics, The University of Texas at San Antonio, San Antonio, Texas, U.S.A.
Paul Müller
Affiliation:
Institute für Mathematik, Johannes Kepler Universitat, Linz, Austria
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Abstract

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In this note we prove that one aspect of the similarity theory, for the Volterra nest in Lp(0,1 ) for 1 < p ≠ 2 < ∞, is like that for p = 1 ; we thus answer a question from [ALWW].

Keywords

47D3047C05nest algebrassimilarity
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 4 , 01 December 1995 , pp. 385 - 389
Copyright
Copyright © Canadian Mathematical Society 1995

References

[AAW] Allen, G. D., Andrews, K. T. and Ward, J. D., Similarity and isometric equivalence of Lp-nests, Acta Math. Hungar. (3-4) 61(1993), 324–334.Google Scholar
[ALWW] Allen, G. D., Larson, D. R., Ward, J. D. and G. Woodward, Similarity of nests in L1 J. Funct. Anal. 92(1990), 49–76.Google Scholar
[AF] Arias, A. and Farmer, J., Nests of subspaces and their order types, Trans. Amer. Math. Soc. (1) 331(1992), 113–130.Google Scholar
[D] Davidson, K., Similarity and compact perturbations of nest algebras, J. Reine Angew. Math. 348(1984), 72–87.Google Scholar
[JMST] Johnson, W. B., Maurey, B., Schechtman, G. and Tzafriri, L., Symmetric structures in Banach spaces, Mem. Amer. Math. Soc. 217,Amer. Math. Soc. Providence, Rhode Island, 1979.Google Scholar
[L] Larson, D., Nest algebras and similarity transformations, Ann. Math. 121(1988), 409–427.Google Scholar