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Cover: 9783659534997 | A Non Standard Approach of Some Vector Lattice Concepts | D¿ne¿ | Buch
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A Non Standard Approach of Some Vector Lattice Concepts
With 19 Illustrations
Taschenbuch von Rodica-Mihaela D¿ne¿
Sprache: Englisch

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Beschreibung
The starting point of this work consists of several papers published by the author ten years ago. The main idea was to give algebraic descriptions and (sometimes) geometric interpretations for some basic concepts of the Vector Lattice Theory as: vector lattices, Archimedean vector lattices, sublattices, lattice-subspaces, solid subsets, ideals, (o)-dense subspaces. In addition we considered some linear operators commuting with the lattice operations such as the classical Riesz homomorphisms, but also the restricted-lattice operators and quasi-lattice operators, introduced by the author. The extension of restricted-lattice operators is studied as well. By giving algebraic descriptions of the above mentioned vector lattice concepts, the paper is a non standard approach. But, at the same time, by these algebraic descriptions of the classical definitions, the paper shows a way to generalize some notions from vector lattices to ordered vector spaces. Consequently this work is especially useful to academics but also to any individual who is interested in research and development of the theory of these spaces.
The starting point of this work consists of several papers published by the author ten years ago. The main idea was to give algebraic descriptions and (sometimes) geometric interpretations for some basic concepts of the Vector Lattice Theory as: vector lattices, Archimedean vector lattices, sublattices, lattice-subspaces, solid subsets, ideals, (o)-dense subspaces. In addition we considered some linear operators commuting with the lattice operations such as the classical Riesz homomorphisms, but also the restricted-lattice operators and quasi-lattice operators, introduced by the author. The extension of restricted-lattice operators is studied as well. By giving algebraic descriptions of the above mentioned vector lattice concepts, the paper is a non standard approach. But, at the same time, by these algebraic descriptions of the classical definitions, the paper shows a way to generalize some notions from vector lattices to ordered vector spaces. Consequently this work is especially useful to academics but also to any individual who is interested in research and development of the theory of these spaces.
Über den Autor
Rodica-Mihaela D¿ne¿ Is a PhD Prof. at the Technical University of Civil Engineering Bucharest and works in the areas of Ordered Vector Spaces Theory and Fixed Point Theory for Multimaps. She leads a working group aimed to change the teaching of math in technical universities by including in lectures an informal part and engineering applications.
Details
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9783659534997
ISBN-10: 3659534994
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: D¿ne¿, Rodica-Mihaela
Hersteller: LAP LAMBERT Academic Publishing
Maße: 220 x 150 x 6 mm
Von/Mit: Rodica-Mihaela D¿ne¿
Erscheinungsdatum: 30.04.2014
Gewicht: 0,149 kg
Artikel-ID: 113179620
Über den Autor
Rodica-Mihaela D¿ne¿ Is a PhD Prof. at the Technical University of Civil Engineering Bucharest and works in the areas of Ordered Vector Spaces Theory and Fixed Point Theory for Multimaps. She leads a working group aimed to change the teaching of math in technical universities by including in lectures an informal part and engineering applications.
Details
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9783659534997
ISBN-10: 3659534994
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: D¿ne¿, Rodica-Mihaela
Hersteller: LAP LAMBERT Academic Publishing
Maße: 220 x 150 x 6 mm
Von/Mit: Rodica-Mihaela D¿ne¿
Erscheinungsdatum: 30.04.2014
Gewicht: 0,149 kg
Artikel-ID: 113179620
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