The angle between subspaces of a Hilbert space. (English) Zbl 0848.46010
Singh, S. P. (ed.) et al., Approximation theory, wavelets and applications. Proceedings of the NATO Advanced Study Institute on recent developments in approximation theory, wavelets and applications, Maratea, Italy, May 16-26, 1994. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 107-130 (1995).
Summary: This is a mainly expository paper concerning two different definitions of the angle between a pair of subspaces of a Hilbert space, certain basic results which hold for these angles, and a few of the many applications of these notions. The latter include the rate of convergence of the method of cyclic projections, existence and uniqueness of abstract splines, and the product of operators with closed range.
For the entire collection see [Zbl 0813.00005].
For the entire collection see [Zbl 0813.00005].
MathOverflow Questions:
Existence of \(f \in L^2(\Bbb R^n)\) with \(f=g_1\) on \(E\) and \(\mathscr{F}(f)=g_2\) on \(F\)MSC:
| 46C05 | Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) |
| 47A05 | General (adjoints, conjugates, products, inverses, domains, ranges, etc.) |
| 41A15 | Spline approximation |
