Extensions of fixed point theorems of Ćirić
S. Č. Nešić (1981)
Matematički Vesnik
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S. Č. Nešić (1981)
Matematički Vesnik
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A. Torgašev (1976)
Matematički Vesnik
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Slavica Ivelić Bradanović, Josip Pečarić (2017)
Open Mathematics
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This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen’s inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.
José M. Bayod Bayod, Javier Martínez-Maurica (1986)
Extracta Mathematicae
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Zenon J. Jabłoński, Il Bong Jung, Jan Stochel (2006)
Studia Mathematica
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The concept of k-step full backward extension for subnormal operators is adapted to the context of completely hyperexpansive operators. The question of existence of k-step full backward extension is solved within this class of operators with the help of an operator version of the Levy-Khinchin formula. Some new phenomena in comparison with subnormal operators are found and related classes of operators are discussed as well.
B. Krakus (1972)
Fundamenta Mathematicae
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Benjamin Miesch (2015)
Analysis and Geometry in Metric Spaces
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We investigate how to glue hyperconvex (or injective) metric spaces such that the resulting space remains hyperconvex. We give two new criteria, saying that on the one hand gluing along strongly convex subsets and on the other hand gluing along externally hyperconvex subsets leads to hyperconvex spaces. Furthermore, we show by an example that these two cases where gluing works are opposed and cannot be combined.
Tadeusz Rzeżuchowski (2012)
Open Mathematics
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We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.
C. Benhida, E. H. Zerouali (2009)
Studia Mathematica
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Let R and S be two operators on a Hilbert space. We discuss the link between the subscalarity of RS and SR. As an application, we show that backward Aluthge iterates of hyponormal operators and p-quasihyponormal operators are subscalar.
T. K. Pal, M. Maiti, J. Achari (1976)
Matematički Vesnik
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Upke-Walther Schmincke (1972)
Mathematische Zeitschrift
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Julien Melleray (2010)
Fundamenta Mathematicae
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Using classical results of infinite-dimensional geometry, we show that the isometry group of the Urysohn space, endowed with its usual Polish group topology, is homeomorphic to the separable Hilbert space ℓ²(ℕ). The proof is based on a lemma about extensions of metric spaces by finite metric spaces, which we also use to investigate (answering a question of I. Goldbring) the relationship, when A,B are finite subsets of the Urysohn space, between the group of isometries fixing A pointwise,...
Tadeusz Dobrowolski, Jan van Mill (2006)
Fundamenta Mathematicae
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We characterize the AR property in convex subsets of metric linear spaces in terms of certain near-selections.
Rawla, M.S., Aujla, J.S. (2001)
Rendiconti del Seminario Matematico
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Wojciech Guzicki
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CONTENTS0. Introduction and terminology..............................................................51. Quantifiers and elementary extensions..............................................82. Elementary extensions of countable models of set theory................153. Interpretations of set theory in extensions of A₂...............................214. Definable quantifiers in models of A₂...............................................325. Elementary generic extensions........................................................40References..........................................................................................50 ...