Problems of approximation theory in linear spaces
2006
We present a survey of results related to the approximation characteristics of the spaces Sϕp and their generalizations. The proposed approach enables one to obtain solutions of problems of classical approximation theory in abstract linear spaces in explicit form. The results obtained yield statements that are new even in the case of approximations in the functional Hilbert spaces L2.
Keywords:
- Mathematics
- Space (mathematics)
- Mathematical optimization
- Mathematical analysis
- Lp space
- Functional analysis
- Compact operator on Hilbert space
- Discontinuous linear map
- Discrete mathematics
- Spouge's approximation
- Interpolation space
- Topological tensor product
- Vector space
- Spectral theory
- Continuous linear operator
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