Multi-Dimensional Spectral Theory of Bounded Linear Operators in Locally Convex Spaces.
Volker Wrobel (1986)
Mathematische Annalen
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Volker Wrobel (1986)
Mathematische Annalen
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Belaid, Karim, Echi, Othman, Gargouri, Riyadh (2005)
International Journal of Mathematics and Mathematical Sciences
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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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Irene Rousseau (2001)
Visual Mathematics
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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F. MAEDA (1961)
Mathematische Annalen
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Garibay Bonales, Fernando, Vera Mendoza, Rigoberto (1997)
International Journal of Mathematics and Mathematical Sciences
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Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Félix Cabello Sánchez (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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It is shown that if F is a topological vector space containing a complete, locally pseudo-convex subspace E such that F/E = L₀ then E is complemented in F and so F = E⊕ L₀. This generalizes results by Kalton and Peck and Faber.
Tosio Kato (1982)
Mathematische Zeitschrift
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Jaroslav Zemánek (1977)
Studia Mathematica
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Vlastimil Pták (1982)
Banach Center Publications
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Daniele Funaro (1987/88)
Numerische Mathematik
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László Székelyhidi (2013)
Banach Center Publications
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The purpose of this paper is to give a survey on some recent results concerning spectral analysis and spectral synthesis in the framework of vector modules and in close connection with the Levi-Civita functional equation. Further, we present some open problems in this subject.