Abstract
In this paper the investigation of invariant subspace lattices of c11-contractions, begun in [8] and [9], is continued. Special emphasis is put on the behaviour of hyperinvariant subspaces under quasi-similarity. Moreover, a negative answer is given to a problem of Sz.-Nagy and Foiaş.
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References
Apostol, C, Operators quasi-similar to a normal operator. Proc. Amer. Math. Soc. 53 (1975), 104–106.
Bercovici, H., C 0 -Fredholm operators. II. Acta Sci. Math. (Szeged) 42 (1980), 3–42
Bercovici, H.- Kérchy, L., Quasi-similarity and properties of the commutant of C 11 -contractions. Acta Sci. Math. (Szeged) 45 (1983), 67–74.
Birkhoff, G., Lattice Theory. Amer. Math. Soc. Coll. Publ. Volume XXV.
Douglas, R.G., On the operator equation S*XT = X and related topics. Acta Sci. Math. (Szeged) 30 (1960), 19–32.
Douglas, R.G., — Pearcy, C, On a Topology for Invariant Subspaces. J. Funct. Anal. 2 (1968), 323–341.
Fialkow, L., A note on quasisimilarity. II. Pac. J. Math. 70 (1977)., 151–162.
Kerchy, L., On invariant subspace lattices of C11-contractions. Acta. Sci. Math. (Szeged) 43 (1981), 281–293.
Kerchy, L., On the commutant of C11-contractions. Acta. Sci. Math. (Szeged) 43 (1981), 15–26.
Sz.-Nagy, B. — Foiaş, C., Harmonic Analysis of Operators on Hilbert Space, North Holland — Akademiai Kiadó, Amsterdam — Budapest 1970.
Sz.-Nagy, B. — Foiaş, C, Vecteurs cycliques et commutativite des commutants. Acta Sci. Math. (Szeged) 32 (1971), 177–183.
Teodorescu, R.I., Factorisations regulieres et sousespaces hyperin-variants. Acta Sci. Math. (Szeged) 40 (1978), 389–396.
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© 1984 Springer Basel AG
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Kérchy, L. (1984). Subspace Lattices Connected with C11-Contractions. In: Butzer, P.L., Stens, R.L., Sz.-Nagy, B. (eds) Anniversary Volume on Approximation Theory and Functional Analysis. ISNM 65: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 65. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5432-0_9
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DOI: https://doi.org/10.1007/978-3-0348-5432-0_9
Publisher Name: Birkhäuser, Basel
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