Remarks on remotal sets in vector valued function spaces.
Sababheh, M., Khalil, R. (2009)
The Journal of Nonlinear Sciences and its Applications
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Sababheh, M., Khalil, R. (2009)
The Journal of Nonlinear Sciences and its Applications
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A. Plichko, A. Razenkov (1996)
Colloquium Mathematicae
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Gilles Godefroy, V. Indumathi (2001)
Revista Matemática Complutense
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In any dual space X*, the set QP of quasi-polyhedral points is contained in the set SSD of points of strong subdifferentiability of the norm which is itself contained in the set NA of norm attaining functionals. We show that NA and SSD coincide if and only if every proximinal hyperplane of X is strongly proximinal, and that if QP and NA coincide then every finite codimensional proximinal subspace of X is strongly proximinal. Natural examples and applications are provided.
Olusegun O. Owojori (2008)
Kragujevac Journal of Mathematics
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Gunawan, Hendra, Neswan, Oki, Setya-Budhi, Wono (2005)
Beiträge zur Algebra und Geometrie
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Haluška, Ján, Hutník, Ondrej (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Joiţa, Maria (2010)
Banach Journal of Mathematical Analysis [electronic only]
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B. Przeradzki (1992)
Annales Polonici Mathematici
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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.
Carlsson, M. (2011)
The New York Journal of Mathematics [electronic only]
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Castejón, A., Corbacho, E., Tarieladze, V. (2002)
Georgian Mathematical Journal
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Lindström, Mikael, Palmberg, Niklas (2007)
Annales Academiae Scientiarum Fennicae. Mathematica
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Jan Stochel (1992)
Annales Polonici Mathematici
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The paper deals with operator-valued positive definite kernels on a convex *-semigroup whose Kolmogorov-Aronszajn type factorizations induce *-semigroups of bounded shift operators. Any such kernel Φ has a canonical decomposition into a degenerate and a nondegenerate part. In case is commutative, Φ can be disintegrated with respect to some tight positive operator-valued measure defined on the characters of if and only if Φ is nondegenerate. It is proved that a representing measure of...