Valerio Capraro, Stefano Rossi (2011)
Colloquium Mathematicae
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We use Birkhoff-James' orthogonality in Banach spaces to provide new conditions for the converse of the classical Riesz representation theorem.
Zafer Ercan (2005)
Open Mathematics
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The paper presents a simple proof of Proposition 8 of [2], based on a new and simple description of isometries between CD 0-spaces.
G. J. H. M. Buskes, A. C. M. Van Rooij (1992)
Compositio Mathematica
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Polat, Faruk (2011)
Abstract and Applied Analysis
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Zafer Ercan (1999)
Czechoslovak Mathematical Journal
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We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
C. D. Aliprantis, O. Burkinshaw (1982)
Colloquium Mathematicae
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Mert Çaglar, Zafer Ercan, Faruk Polat (2006)
Open Mathematics
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We define and investigateCD Σ,Γ(K, E)-type spaces, which generalizeCD 0-type Banach lattices introduced in [1]. We state that the space CD Σ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main result of [6, 8].
Wolfgang Filter (1992)
Czechoslovak Mathematical Journal
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Victor S. Shulman, Yuriĭ V. Turovskii (2002)
Studia Mathematica
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It is proved that Riesz elements in the intersection of the kernel and the closure of the image of a family of derivations on a Banach algebra are quasinilpotent. Some related results are obtained.