• Corpus ID: 249712601

# C*-algebraic Smale Mean Value Conjecture and Dubinin-Sugawa Dual Mean Value Conjecture

```@inproceedings{Krishna2022CalgebraicSM,
title={C*-algebraic Smale Mean Value Conjecture and Dubinin-Sugawa Dual Mean Value Conjecture},
author={K. Mahesh Krishna},
year={2022}
}```
: Based on Smale mean value conjecture [Bull. Amer. Math. Soc., 1981] and Dubinin-Sugawa dual mean value conjecture [Proc. Japan Acad. Ser. A Math. Sci., 2009] we formulate the following conjectures. form of) C*-algebraic Smale mean value conjecture and C*-algebraic Dubinin-Sugawa dual mean value conjecture hold for degree 2 C*-algebraic polynomials over commutative C*-algebras.
1 Citations

### C*-algebraic Casas-Alvero Conjecture

: Based on Casas-Alvero conjecture [J. Algebra, 2001] we formulate the following conjecture. C*-algebraic Casas-Alvero Conjecture : Let A be a commutative C*-algebra, n ∈ N and let P ( z ) := ( z − a

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