| Autor: |
Sergei Nikolaevich Mishin |
| Rok vydání: |
2013 |
| Předmět: |
|
| Zdroj: |
Ufimskii Matematicheskii Zhurnal. 5:112-124 |
| ISSN: |
2304-0122 |
| DOI: |
10.13108/2013-5-1-112 |
| Popis: |
In the work we generalize Liouville theorem and the concept of order and type of entire function to the case of an operator-valued function with values in the space Lec(H1,H) of all linear continuous operators acting from a locally convex space H1 to a locally convex space H with an equicontinuous bornology. We find the formulae expressing the order and type of an operator-valued function in terms of the characteristics for the sequence of the coefficients. Some properties of the order and type of an operator-valued function are established. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
|
