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Uniform convergence of $sum_{k=0}^{infty}(-1)^kfrac{[ln(1+x^2)]^k}{k!}$ on $mathbb{R}$.

1 Mathematics Asked on 01/03/2022

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Is a field extension of the form $mathbb C[X, Y]/mathfrak m$ isomorphic to $mathbb C(k)$ for some algebraic $k$?

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commutative algebra extension field field theory

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Assume $T_n,T$ are bounded bijective linear operators $T_n to T$ pointwise. Show $T_n^{-1}to T^{-1}$ pointwise $iff$ $|T_n^{-1}|leq C$

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When two quadratics seems to output the same values are they necessarily the same?

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