Some stability properties for analytic operator functions
β Scribed by Yu. L. Shmul'yan
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1976
- Tongue
- English
- Weight
- 400 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let A be a meromorphic function with values in the space of bounded linear operators between two Banach spaces X and Y, and assume that the coefficients of the prinoipal part of the Laurent expansion of A at a certain point & are degenerate operators. In this paper it is shown that under rather gene
## Reduction to the holomorphic case We begin with two lemmas which will be useful both here and in other sections. The proof of Lemma 3.1(b) follows immediately from Theorem IV.1.12 in [l l] ; the proof of the other statements are elementary and will be omitted. We say that a subspace M of a Banach
## The conjugate operator function In this section we study some important relations between the H, and K,,, spaces for A and those for the conjugate operator function A\*. We denote the conjugate spaces of X and Y by X\* and Y\*, respectively, and we define A\* to be the function with values in 9