Displaying similar documents to “Asymptotic stability in the Schauder fixed point theorem”

Remarks on the proof of a generalized Hartogs Lemma

Evgeni Chirka, Jean Pierre Rosay (1998)

Annales Polonici Mathematici

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This paper is an outgrowth of a paper by the first author on a generalized Hartogs Lemma. We complete the discussion of the nonlinear ∂̅ problem ∂f/∂z̅ = ψ(z,f(z)). We also simplify the proofs by a different choice of Banach spaces of functions.

Some simple proofs in holomorphic spectral theory

Graham R. Allan (2007)

Banach Center Publications

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This paper gives some very elementary proofs of results of Aupetit, Ransford and others on the variation of the spectral radius of a holomorphic family of elements in a Banach algebra. There is also some brief discussion of a notorious unsolved problem in automatic continuity theory.