Existence of the inverse of a linear stochastic operator
β Scribed by G Adomian; K Malakian
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 73 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Let X, Y be normed linear spaces, T β 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 β 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
A number of operator inclusions, and identities, involving the Moore-Penrose inverse of a closed densely defined linear operator, are presented. Some of these inclusions generalize known identities in the case when the operator is bounded and has closed range. An application to a known compactness c