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Estimates of operator polynomials in the space Lpwith respect to the multiplier norm

✍ Scribed by V. V. Peller


Publisher
Springer US
Year
1981
Tongue
English
Weight
650 KB
Volume
16
Category
Article
ISSN
1573-8795

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Estimates for the uniform norm of comple
✍ Richard Fournier; GΓ©rard Letac; Stephan Ruscheweyh πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 106 KB

## Abstract Let β€– Β· β€– denote the uniform norm in the unit disk of the complex plane β„‚. The main result in this note is as follows: __For any complex polynomial P of degree at most n and any Ξ±__ ∈ β„‚ __the inequality__ β€–__P__ β€– β©½ (__n__ + 1)(β€–__z P__ (__z__) + __Ξ±__ β€– ‐ |__Ξ±__ |) __holds.__ For any