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- Title
Solution of normally solvable operator equations in a Hilbert space.
- Authors
Zhuravlev, V.
- Abstract
We find a formula for the unique pseudoinverse of a normally solvable operator, establish conditions for the existence of a unique solution of a normally solvable equation, and obtain its representation in a Hilbert space. We also introduce the notion of one-sided pseudoinverse operators for normally solvable operators acting in Hilbert spaces and consider methods for their construction.
- Subjects
NUMERICAL solutions to operator equations; HILBERT space; MATHEMATICAL formulas; PSEUDOINVERSES; BANACH spaces; MATRICES (Mathematics); NUMERICAL analysis
- Publication
Journal of Mathematical Sciences, 2013, Vol 189, Issue 5, p751
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-013-1216-x