Direct and Projective Limits of Geometric Banac, Cabau, Pelletier..

Direct and Projective Limits of Geometric Banach Structures.Author(s): Patrick Cabau, Fernand Pelletier\nFormat: Hardback\nPublisher: Taylor & Francis Ltd, United Kingdom\nImprint: Chapman & Hall/CRC\nISBN-13: 9781032561714, 978-1032561714\nSynopsis\nThis book describes in detail the basic context of the Banach setting and the most important Lie structures found in finite dimension. The authors expose these concepts in the convenient framework which is a common context for projective and direct limits of Banach structures. The book presents sufficient conditions under which these structures exist by passing to such limits. In fact, such limits appear naturally in many mathematical and physical domains. Many examples in various fields illustrate the different concepts introduced.\n\nMany geometric structures, existing in the Banach setting, are \""stable\"" by passing to projective and direct limits with adequate conditions. The convenient framework is used as a common context f.