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Isometries on Banach Spaces
Richard J. FlemingJames E. Jamison
其他書名
function spaces
出版CRC Press, 2002-12-23
主題Mathematics / GeneralMathematics / Differential Equations / GeneralMathematics / Functional Analysis
ISBN14200261519781420026153
URLhttp://books.google.com.hk/books?id=i-3KBQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric