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On -topological vector spaces generated by a co-tower of L-topological vector spaces by Hua-Peng Zhang; Jin-Xuan Fang is a Computer Science article available to read on EtoBox.
What is On -topological vector spaces generated by a co-tower of L-topological vector spaces about?
In this paper, a characterization for an I (L)-topological space to be generated by a given co-tower of L-topological spaces is obtained. Moreover, the relationship between some properties of an I (L)-topological vector space generated by a co-tower of Ltopological vector spaces and the corresponding properties of the given co-tower of L-topological vector spaces is investigated. Our results show that if an I (L)-topological vector space generated by a co-tower of L-topological vector spaces has some properties, such as local convexity and local boundedness, then all L-topological vector spaces in the co-tower also have the same properties. But the converse is incorrect even in the case of I-topological vector space generated by a co-tower of classical topological vector spaces. Finally, we supply a necessary and sufficient condition for an I (L)-topological vector space generated by a co-tower of L-topological vector spaces with some properties, such as local convexity and local boundedness, to have such properties too.
Who reads On -topological vector spaces generated by a co-tower of L-topological vector spaces?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Hua-Peng Zhang; Jin-Xuan Fang
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0165-0114)
- Published
- 2009
- Language
- EN
- Field
- Computer Science (Physical Sciences)