A nearly uniformly convex space which is not a -space
Denka Kutzarova (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Denka Kutzarova (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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J. Achari (1979)
Matematički Vesnik
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S. Cobzaş (1999)
Acta Universitatis Carolinae. Mathematica et Physica
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S. Rolewicz (1987)
Studia Mathematica
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Ji Gao, Ka-Sing Lau (1991)
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P. Holický, O. F. K. Kalenda, L. Veselý, L. Zajíček (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and only if each everywhere defined quotient of two continuous convex functions is a d.c. function. Our construction also gives a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals. ...
W. L. Bynum (1972)
Compositio Mathematica
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Fixed Point Theory and Applications [electronic only]
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