𝑚th roots of the identity operator and the geometry conjecture

DOI10.1090/proc/15957zbMath1502.46016arXiv2112.09805OpenAlexW4200152518MaRDI QIDQ5869406

Stephen Simons

Publication date: 28 September 2022

Full work available at URL: https://arxiv.org/abs/2112.09805

zbMATH Keywords

resolventHilbert spaceKy Fan's inequalityminimax theoremmaximally monotone operatorprojection onto a convex set

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Fixed-point theorems (47H10) Existence of solutions for minimax problems (49J35) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

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• "Densities" and maximal monotonicity I
• Attouch--Théra Duality, Generalized Cycles, and Gap Vectors
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• Convex analysis and monotone operator theory in Hilbert spaces

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