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Dense single-valuedness of monotone operators

✍ Scribed by Eduardo H. Zarantonello

Book ID: 112886817
Publisher: The Hebrew University Magnes Press
Year: 1973
Tongue: English
Weight: 373 KB
Volume: 15
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02764602

No coin nor oath required. For personal study only.

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Let E be a real Banach space with dual E'. We associate with any nonempty subset H of E x E\* a certain compact convex subset of the first quadrant in K\*, which we call the picture of H, II(H). In general, n(H) may be empty, but TX(M) is nonempty if M is a nonempty monotone subset of E x E\*. If E