A sharpened form of the inverse function theorem

• Autorzy: Mark Elin , David Shoikhet
• Języki publikacji: EN

Abstrakty

EN

In this note we establish an advanced version of the inverse function theorem and study some local geometrical properties like starlikeness and hyperbolic convexity of the inverse function under natural restrictions on the numerical range of the underlying mapping.

Słowa kluczowe

EN

Inverse function theorem; nonlinear resolvent; holomorphic function

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2019
• Tom: 73
• Numer: 2

Daty

wydano

2019

online

2020-01-16

Twórcy

autor

Mark Elin

autor

David Shoikhet

Bibliografia

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Identyfikatory

DOI

10.17951/a.2019.73.2.59-67