Let G, H be groups. G is called an extension of H if there is an epimorphism u: G + H . The congruence Ker u is uniquely determined by the normal subgroups N = o-l( la). Thus we may say that G is an extension of H by N . Analogously a monoid S is called an extension of a monoid C if there is an epi
On analytic extension of semigroups of operators
β Scribed by Arne Beurling
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 649 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
## Abstract In M. G. KreΔn's extension theory of nonnegative operators a complete description is given of all nonnegative selfadjoint extensions of a densely defined nonnegative operator. This theory, the refinements to the theory due to T. Ando and K. Nishio, and its extension to the case of nonde
Let β¦1, β¦2 be open subsets of R d 1 and R d 2 , respectively, and let A(β¦1) denote the space of real analytic functions on β¦1. We prove a Glaeser type theorem by characterizing when a composition operator CΟ : Using this result we characterize when A(β¦1) can be embedded topologically into A(β¦2) as