An application of the smooth variational principle to the existence of nontrivial invariant subspaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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An application of the smooth variational principle to the existence of nontrivial invariant subspaces

Institution:	1. School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel;2. Equipe d''Analyse, université Paris 6, case 186, 4, place Jussieu, 75252 Paris cedex 05, France;1. Department of Respiratory Medicine, Hamamatsu Medical Center, Japan;2. Department of Nutrition, Hamamatsu Medical Center, Japan;3. Department of Gastroenterological Surgery, Hamamatsu Medical Center, Japan;1. School of Health Sciences, The University of Manchester, Manchester, M13 9PL, UK;2. Salford Royal NHS Foundation Trust, Salford, M6 8HD, UK;3. BresMed Health Solutions LTD, North Church House, 84 Queen Street, Sheffield, S1 2DW, UK;4. Amicus Therapeutics UK LTD, Oxford Road, Bucks, Sl9 7AP, UK;5. School of Medicine, The University of Manchester, Manchester, M13 9PL, UK;1. Queen Mary, University of London, London E1 4NS, England, United Kingdom;2. Faculty of Engineering, Kyushu Sangyo University, 3-1 Matsukadai 2-Chome, Higashi-ku Fukuoka 813-8503, Japan;3. Hiroshima Institute of Technology, Hiroshima 731-5193, Japan;4. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 1 M. Kogălniceanu Str., 400084 Cluj-Napoca, Romania

Abstract:	We show that the consideration of Gâteaux smooth functions on Banach spaces which admit an equivalent Gâteaux smooth norm allows us to show that certain linear operators have nontrivial closed invariant subspaces. It is in particular the case of all operators on a real Banach space which admit a moment sequence.

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