Iterative Schemes Involving Several Mutual Contractions [PDF]
, 2023 In this paper, we introduce the new concept of mutual Reich contraction that involves a pair of operators acting on a distance space. We chose the framework of strong b-metric spaces (generalizing the standard metric spaces) in order to add a more ...
Jha, Sangita +7 more
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Decoupling inequalities with exponential constants [PDF]
, 2022 [EN] Decoupling inequalities disentangle complex dependence structures of random objects so that they can be analyzed by means of standard tools from the theory of independent random variables.
Daniel Carando +6 more
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The Influence of AlGaN/GaN Heteroepitaxial Structure Fractal Geometry on Size Effects in Microwave Characteristics of AlGaN/GaN HEMTs [PDF]
, 2019 The investigation of size effects appearing in the dependence of AlGaN/GaN HEMT high-frequency characteristics on channel width d and number of sections n is conducted using the notions of measure, metric and normed functional (linear) spaces.
Nikolay A. Torkhov +2 more
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Distortion and stabilized structure in Banach spaces; New geometric phenomena for Banach and Hilbert spaces [PDF]
, 1995 Many of the fundamental research problems in the geometry of normed linear spaces can be loosely phrased as: Given a Banach space X and a class of Banach spaces y does X contain a subspace 7 G u? As a Banach space X is determined by its unit ball Bx = {x
Th. Schlumprecht, E. Odell
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Separated sequences in normed spaces [PDF]
, 2018 The problems that we are concerned in this Phd. Thesis have their roots in a well known consequence of the classical Riesz’s lemma: Let X be an infinite dimensional normed space, then there exists a normalized sequence (x_n) (‖x_n ‖=1) in X such that the
Glakousakis, Eftychios +1 more
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Ordered Linear Spaces and Extention of Positive Operators [PDF]
, 2014 85 σ.Η παρούσα εργασία δίνει έμφαση στη θεωρία των Διατεταγμένων Γραμμικών Χώρων. Γίνεται μία διεξοδική μελέτη και παρουσίαση αλγεβρικών ιδιοτήτων των χώρων αυτών, που είναι πολύ σημαντικές και διαδραμματίζουν μείζονα ρόλο στην μελέτη προβλημάτων της ...
Παπαδάκη, Μαρία Α. +1 more
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Representations of function algebras, abstract operator spaces, and Banach space geometry [PDF]
, 1992 Let G be the closed unit ball of some norm on Cn, and let A(G) be the closure of the polynomials in the sup norm. We prove that if n ⩾ 5 then there is a contractive representation of A(G) as operators on a Hilbert space which is not completely ...
Paulsen, Vern I
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Some properties of monotone type multivalued operators in Banach spaces [PDF]
, 1993 summary:Some properties of monotone type multivalued operators including accretive operators and the duality mapping are studied in connection with the structure of Banach ...
Kolomý, Josef
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Measures, curvatures and currents in convex geometry [PDF]
, 1999 This work is devoted to the investigation of basic interrelations between the geometry of convex sets and certain measures (or functionals), curvatures and currents which are associated with such sets.
Hug, Daniel
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On vector functions of bounded convexity [PDF]
, 2008 summary:Let $X$ be a normed linear space. We investigate properties of vector functions $F\colon [a,b] \to X$ of bounded convexity. In particular, we prove that such functions coincide with the delta-convex mappings admitting a Lipschitz control function,
Duda, Jakub +4 more
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