Walter Rudin. Principles of Mathematical Amlysis. McGraw-Hill, New York, second edition, 1964. Home/Search Document Not in Database Summary Related Articles |
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....guises in the study of integral equations. From least to most specific these spaces are the vector space, nor reed linear space, Banach space, and Hilber t space. The material in this section is only a superficial overview. For much greater depth, see any introductory text on real analysis [31, 30]. 2.1 Vector Spaces and Function Spaces A vector space, also called a linear space, is a set X along with two operations defined on its elements, addition and scalar multiplication, under which X is algebraically closed. That is, for any x, y E X, and ( E T4, the sum x y and the scalar ....
Walter Rudin. Principles of Mathematical Amlysis. McGraw-Hill, New York, second edition, 1964.
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