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math.FA2013
On Operator Theoretical Interpretations for some Classical Problems in Geometry and Differential Equatioins
Ali Taghavi
A consequence of the Gauss Bonnet theorem is interpreted in term of operator theory by Alain Connes in his book, Non Commutative geometry. In this note we explain in details about…
math.FA2011
A Banach Algebraic Version Of The Fundamental Theorem of Algebra
Ali Taghavi
For a monic polynomial p(z) with coefficients in a unital complex Banach algebra, we prove that there exist a complex number z such that p(z)is not invertible
math.FA2005
A Proof of The Fundamental Theorem of Algebra
Ali Taghavi
We give a proof for the fundamental theorem of algebra,using the Fredholm index phenomena