On a fixed-point theorem of Banach type
Jochen Reinermann (1970)
Annales Polonici Mathematici
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Jochen Reinermann (1970)
Annales Polonici Mathematici
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Colloquium Mathematicae
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J. R. Holub (1971)
Colloquium Mathematicae
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Stanisław Szufla (1977)
Annales Polonici Mathematici
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V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
Annales Polonici Mathematici
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Studia Mathematica
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Stanisław Szufla (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Stephen A. Saxon, Albert Wilansky (1977)
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Kadets, Vladimir, Katkova, Olga, Martín, Miguel, Vishnyakova, Anna (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary: 46B20. Secondary: 46H99, 47A12. We estimate the (midpoint) modulus of convexity at the unit 1 of a Banach algebra A showing that inf {max±||1 ± x|| − 1 : x ∈ A, ||x||=ε} ≥ (π/4e)ε²+o(ε²) as ε → 0. We also give a characterization of two-dimensional subspaces of Banach algebras containing the identity in terms of polynomial inequalities.
D. Azagra, J. Gómez, J. A. Jaramillo (1996)
Extracta Mathematicae
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Cardwell, Antonia E. (2006)
International Journal of Mathematics and Mathematical Sciences
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