Construction of semigroups of operators given norms
โ Scribed by An A. Ruban
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1995
- Tongue
- English
- Weight
- 402 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We extend the Chernoff theory of approximation of contraction semigroups aร la Trotter. We show that the Trotter Neveu Kato convergence theorem holds in operator norm for a family of uniformly m-sectorial generators in a Hilbert space. Then we obtain a Chernoff-type approximation theorem for quasi-s
Let h(z) be an essentially bounded complex valued function on the unit circle Y = {z I Iz] = 1}. Consider the corresponding Laurent operator Lt, = (h= m),.meZ, where h= is the nth Fourier coefficient of h(z), h,, = fT h(z)z " dz. Let us consider an operator Sh(p,q), which we shall call a sampling op