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Synopsis
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.
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About the Author
Rodica-Mihaela Dăneț 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.
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- PublisherLAP LAMBERT Academic Publishing
- Publication date2014
- ISBN 10 3659534994
- ISBN 13 9783659534997
- BindingPaperback
- LanguageEnglish
- Number of pages88
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A Non Standard Approach of Some Vector Lattice Concepts
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LAP LAMBERT Academic Publishing Apr 2014, 2014
ISBN 10: 3659534994
ISBN 13: 9783659534997
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 88 pp. Englisch. Seller Inventory # 9783659534997
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A Non Standard Approach of Some Vector Lattice Concepts : With 19 Illustrations
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LAP LAMBERT Academic Publishing, 2014
ISBN 10: 3659534994
ISBN 13: 9783659534997
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9783659534997
Quantity: 1 available
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A Non Standard Approach of Some Vector Lattice Concepts
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ISBN 13: 9783659534997
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Danet Rodica-MihaelaRodica-Mihaela Danet 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. Seller Inventory # 158079234
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A Non Standard Approach of Some Vector Lattice Concepts
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LAP LAMBERT Academic Publishing Apr 2014, 2014
ISBN 10: 3659534994
ISBN 13: 9783659534997
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Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. Neuware -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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 88 pp. Englisch. Seller Inventory # 9783659534997
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