Invariant Ideals for Uniform Joint Locally Quasinilponent Operators

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Invariant Ideals for Uniform Joint Locally Quasinilponent Operators

A. Fernández Valles

Source: Rocky Mountain J. Math. Volume 39, Number 5 (2009), 1699-1712.

First Page: Show

Primary Subjects: 47B37

Secondary Subjects: 47B38, 47B99

Keywords: Common closed invariant ideals; N -tuples of operators; joint local quasinilpotence; joint compact friendly

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1255008579
Digital Object Identifier: doi:10.1216/RMJ-2009-39-5-1699
Zentralblatt MATH identifier: 05614528
Mathematical Reviews number (MathSciNet): MR2546660

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References

Y.A. Abramovich and C.D. Aliprantis, An invitation to operator theory, Grad. Stud. Math. 50, American Mathematical Society, Providence, RI, 2002.

Mathematical Reviews (MathSciNet): MR1921782

Zentralblatt MATH: 1022.47001

Y.A. Abramovich, C.D. Aliprantis and O. Burkinshaw, Invariant subspaces of operators on $l_p$-spaces, J. Funct. Anal. 115 (1993), 418-424.

Mathematical Reviews (MathSciNet): MR1234398

Zentralblatt MATH: 0819.47006

Digital Object Identifier: doi:10.1006/jfan.1993.1097

--------, Invariant subspace theorems for positive operators, J. Funct. Anal. 124 (1994), 95-111.

Mathematical Reviews (MathSciNet): MR1284604

Zentralblatt MATH: 0819.47049

Digital Object Identifier: doi:10.1006/jfan.1994.1099

--------, Invariant subspaces for positive operators acting on a Banach space with basis, Proc. Amer. Math. Soc. 123 (1995), 1773-1777.

Mathematical Reviews (MathSciNet): MR1242069

Zentralblatt MATH: 0822.47037

Digital Object Identifier: doi:10.2307/2160990

JSTOR: links.jstor.org

Y.A. Abramovich, C.D. Aliprantis, O. Burkinshaw and A.W. Wickstead, A characterization of compact-friendly multiplication operators, Indag. Math. 10 (1999), 161-171.

Mathematical Reviews (MathSciNet): MR1816212

Digital Object Identifier: doi:10.1016/S0019-3577(99)80013-5

Zentralblatt MATH: 1043.47504

A. Fernández Valles, Joint local quasinilpotence and common invariant subspaces, Proc. Indian Acad. Sci. 116 (2006), 317-323.

Mathematical Reviews (MathSciNet): MR2256008

Digital Object Identifier: doi:10.1007/BF02829748

Zentralblatt MATH: 1110.47004

--------, Common non-supercyclic vectors for commuting contractions, Studia Sci. Math. Hungar., (to appear) 2007.

Marek Kosiek and Alfredo Octavio, On common invariant subspaces for commuting contractions with rich spectrum, Indiana Univ. Math. J. 53 (2004), 823-844.

Mathematical Reviews (MathSciNet): MR2086702

Zentralblatt MATH: 1061.47007

Digital Object Identifier: doi:10.1512/iumj.2004.53.2221

Marek Ptak, On the existence of invariant subspaces and reflexivity of $N$-tuples of operators, Taiwanese J. Math. 1 (1997), 231-290.

Mathematical Reviews (MathSciNet): MR1465930

Zentralblatt MATH: 0901.47029

--------, Survey of recent results on invariant subspace problem and reflexivity of families of operators, Univ. Iagel. Acta Math. 34 (1997), 89-100.

Mathematical Reviews (MathSciNet): MR1458036

Zentralblatt MATH: 0954.47054

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Rocky Mountain Journal of Mathematics