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Abstract Let X be a real Hilbert space. Let T : X → X be a continuous and α-expansive operator. Nirenberg proposed a problem as to whether or not T… Click to show full abstract
Abstract Let X be a real Hilbert space. Let T : X → X be a continuous and α-expansive operator. Nirenberg proposed a problem as to whether or not T (with α = 1 ) is surjective provided that R ( T ) ∘ ≠ ∅ . In this paper, I give the proof of the surjectivity of T with arbitrary α > 0 . The paper gives a complete proof of the problem that has been open for over 45 years.
Keywords:
expansive mappings;
mappings hilbert;
retracted proof;
nirenberg conjecture;
conjecture expansive;
proof nirenberg
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
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recommendations!