On locally bounded spaces and their products
Апстракт
In this paper we present a new characterization of locally bounded topological vector spaces, which generalize earlier characterizations of Aoki [1] and Rolewicz [13]. Further we shall prove that Topological vector space is Φ-paranormable (class introduced by S. Kasahara in 1973) if and only if it is a product of locally bounded spaces.
Извор:
Kragujevac Journal of Mathematics, 2005, 27, 55-61Издавач:
- Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Aranđelović, Ivan AU - Rajović, Miloje PY - 2005 UR - https://machinery.mas.bg.ac.rs/handle/123456789/493 AB - In this paper we present a new characterization of locally bounded topological vector spaces, which generalize earlier characterizations of Aoki [1] and Rolewicz [13]. Further we shall prove that Topological vector space is Φ-paranormable (class introduced by S. Kasahara in 1973) if and only if it is a product of locally bounded spaces. PB - Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac T2 - Kragujevac Journal of Mathematics T1 - On locally bounded spaces and their products EP - 61 IS - 27 SP - 55 UR - https://hdl.handle.net/21.15107/rcub_machinery_493 ER -
@article{ author = "Aranđelović, Ivan and Rajović, Miloje", year = "2005", abstract = "In this paper we present a new characterization of locally bounded topological vector spaces, which generalize earlier characterizations of Aoki [1] and Rolewicz [13]. Further we shall prove that Topological vector space is Φ-paranormable (class introduced by S. Kasahara in 1973) if and only if it is a product of locally bounded spaces.", publisher = "Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac", journal = "Kragujevac Journal of Mathematics", title = "On locally bounded spaces and their products", pages = "61-55", number = "27", url = "https://hdl.handle.net/21.15107/rcub_machinery_493" }
Aranđelović, I.,& Rajović, M.. (2005). On locally bounded spaces and their products. in Kragujevac Journal of Mathematics Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac.(27), 55-61. https://hdl.handle.net/21.15107/rcub_machinery_493
Aranđelović I, Rajović M. On locally bounded spaces and their products. in Kragujevac Journal of Mathematics. 2005;(27):55-61. https://hdl.handle.net/21.15107/rcub_machinery_493 .
Aranđelović, Ivan, Rajović, Miloje, "On locally bounded spaces and their products" in Kragujevac Journal of Mathematics, no. 27 (2005):55-61, https://hdl.handle.net/21.15107/rcub_machinery_493 .