| GENERAL OPEN MAPPING THEOREMS FOR LINEAR TOPOLOGICAL SPACES |
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| 引用本文： | 丘京辉. GENERAL OPEN MAPPING THEOREMS FOR LINEAR TOPOLOGICAL SPACES[J]. 数学物理学报(B辑英文版), 1998, 0(3) |
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| 作者姓名： | 丘京辉 |
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| 作者单位： | School of Mathematical Science，Suzhou University. Suzhou 215006，China |
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| 摘 要： | 0IntroductionIntile1930's,thefirstoped1flappingtheoremforFr6clletspaceswasprovedbyS.B....htll].Sincethedtilevariousextellsiollsoftheopenmappingtheoremhaveapl)earedillsuccessiollforitsapplications(fordetails,see[4]).In1958,V.PtAkfoundoutthatoped1llappillgtheoremsareconllectedwithsolllecompleteness,alldheobtainedastrikillgextensiollofBallach'sclassicaltlleoreul,whichpoilltsoutthatcontinuouslillearmapsfi.olllB-colllpletespacesolltobarrelledspacesareoped['].1111965,T.Husaingaveaninlportalltope…
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GENERAL OPEN MAPPING THEOREMS FOR LINEAR TOPOLOGICAL SPACES |
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| Qiu Jinghui. GENERAL OPEN MAPPING THEOREMS FOR LINEAR TOPOLOGICAL SPACES[J]. Acta Mathematica Scientia, 1998, 0(3) |
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| Authors: | Qiu Jinghui |
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| Abstract: | In this paper, the author establishs general open mapping theorems for contin uous, weakly continuous, closed and weakly singular linear maps respectively. From these general theorems, he deduces a lot of specific open mapping theorems. which include some well-known theorems and some new interesting results. Particularly the author gives the extensions of Husain's open mapping theorem and Adasch's open mapping theorem. |
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| Keywords: | Locally convex spaces duals barrelled spaces Mackey spaces open mapping theorems. |
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