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On the extension of continuous linear functionals and best approximation in normed linear spaces

โœ Scribed by Ivan Singer


Publisher
Springer
Year
1965
Tongue
English
Weight
766 KB
Volume
159
Category
Article
ISSN
0025-5831

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Let X, Y be normed linear spaces, T โˆˆ L(X, Y ) be a bounded linear operator from X to Y . One wants to solve the linear problem Ax = y for x (given y โˆˆ Y ), as well as one can. When A is invertible, the unique solution is x = A -1 y. If this is not the case, one seeks an approximate solution of the