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Refuge at the Foot of the ThroneLet. be a topological space. Assume that . is an operator defined from . into ., i.e.,闲聊 发表于 2025-3-22 12:44:32
Epilogue: A Giddy Whirl of Theatre-goingThroughout this chapter we will consider complex Banach spaces only. In this case, many local features related to the solvability of equations with operators that are differentiable in the complex sense, turn out to be global.aesthetician 发表于 2025-3-22 13:43:16
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Anneke Doorne-Huiskes,Laura den DulkLet. and . be domains in the Banach spaces.and ., respectively, and let . be an operator acting from the topological product.into.. Assume that, for a given λ. ∈Ω, the equation.has the solution., i.e., ..AGONY 发表于 2025-3-23 00:03:26
https://doi.org/10.1057/9780230299443Let us consider a complex Banach space.endowed with a norm ∥·∥, and decomposed in a topological direct sum..Mirage 发表于 2025-3-23 04:27:41
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Differential calculus in normed spaces,Let. and. be normed spaces over the field. (of complex or real numbers). We consider an operator . defined on an open set.and with values in.. Accordingly, we write. (see Chapter 0,.1).