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Additive Maps Preserving Local Spectrum
Integral Equations and Operator Theory, 2005Let X be a complex Banach space, and let \(\mathcal{L}(X)\) be the space of bounded operators on X. Given \(T \in \mathcal{L}(X)\) and x ∈ X, denote by σT (x) the local spectrum of T at x.
Abdellatif Bourhim, Thomas Ransford
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Intuitionistic Fuzzy Approximately Additive Mappings
2011In this paper, we investigate the generalized Hyers–Ulam stability and the intuitionistic fuzzy continuity of the generalized additive functional equation $$\begin{array}{rcl} & & {2}^{n-1}\;{a}_{ 1}f({x}_{1}) = f\bigg{(}\sum\limits_{i=1}^{n}{a}_{ i}{x}_{i}\bigg{)} \\ & & \quad +\sum\limits_{k=2}^{n}\ \sum\limits_{{i}_{1}=2}^{k}\ \sum\limits_{{i}_ ...
M. Eshaghi-Gordji +3 more
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Almost Approximately Additive Mappings
1983Answering a question of L. Reich, we here present two results about the behavior of functions satisfying the approximate additivity inequality almost everywhere with respect to an axiomatically given family of “small” (“negligible”) sets.
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Approximate norm‐additive maps on Banach spaces
Bulletin of the London Mathematical SocietyAbstractLet be two Banach spaces, be an ‐norm‐additive map for some , that is, In this paper, we prove that if is surjective with , then there exists a linear surjective isometry such that The estimate is sharp. We also approximate standard surjective ‐norm‐additive maps between the positive cones of continuous function spaces by linear isometries
Longfa Sun, Gang Cai, Bentuo Zheng
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neuromaps: structural and functional interpretation of brain maps
Nature Methods, 2022Ross Markello +2 more
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A census of pathway maps in cancer systems biology
Nature Reviews Cancer, 2020Brent M Kuenzi, Trey Ideker
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Generating and navigating proteome maps using mass spectrometry
Nature Reviews Molecular Cell Biology, 2010Christian H Ahrens +2 more
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Protein interaction maps for model organisms
Nature Reviews Molecular Cell Biology, 2001Albertha J M Walhout, Marc Vidal
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Symplectic maps, variational principles, and transport
Reviews of Modern Physics, 1992J D Meiss
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