Extreme Spectral States of Commutative Banach Algebras.
Gerd Niestegge (1983)
Mathematische Annalen
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Gerd Niestegge (1983)
Mathematische Annalen
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Robert Grone, Peter D. Johnson, Jr. (1982)
Colloquium Mathematicae
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Peter D. Johnson, Jr. (1978)
Colloquium Mathematicae
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C. Benhida, E. H. Zerouali (2007)
Banach Center Publications
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Let X, Y be Banach spaces, S: X → Y and R: Y → X be bounded operators. We investigate common spectral properties of RS and SR. We then apply the result obtained to extensions, Aluthge transforms and upper triangular operator matrices.
Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Irene Rousseau (2001)
Visual Mathematics
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Jaroslav Zemánek (1977)
Studia Mathematica
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Tosio Kato (1982)
Mathematische Zeitschrift
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A. Sołtysiak (2002)
Studia Mathematica
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An example is given of a semisimple commutative Banach algebra that has the strong spectral extension property but fails the multiplicative Hahn-Banach property. This answers a question posed by M. J. Meyer in [4].
E. Vesentini (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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