Abstract
The paper deals with holomorphic functions of a bounded operator A acting in a Banach complex lattice. A norm estimate for the considered operator valued functions is derived. Applications of the obtained bound to functions of integral operators, partial integral operators, infinite matrices and differential equations are also discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 141-148 |
| Number of pages | 8 |
| Journal | Acta Scientiarum Mathematicarum |
| Volume | 80 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 1 Jan 2014 |
Keywords
- Banach lattice
- Barbashin equation
- Infinite matrices
- Integral operators
- Operator functions
- Partial integral operator
ASJC Scopus subject areas
- Analysis
- Applied Mathematics