## Norm estimates for functions of two non-commuting operators.(English)Zbl 1339.47019

The author considers analytic functions of two non-commuting Banach space operators and proves some norm estimates. Applications to some operator equations as well as some differential equations in a Banach space are given.

### MSC:

 47A56 Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) 47A60 Functional calculus for linear operators 47A62 Equations involving linear operators, with operator unknowns 47G10 Integral operators
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### References:

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