| Implicit Gamma Theorems (I): Pseudoroots and Pseudospectra (2007) | |||||||||||||||
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| Let g : E F be an analytic function between two Hilbert spaces E and F. We study the set g(B(x, #)) F, the image under g of the closed ball about x E with radius #. When g(x) expresses the solution of an equation depending on x then the elements of g(B(x, #)) are #-pseudosolutions . Our aim is to investigate the size of the set g(B(x, #)). | |||||||||||||||
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