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C*-algebraic Bieberbach, Robertson, Lebedev-Milin, Zalcman, Krzyz and Corona Conjectures
Version 1
: Received: 28 July 2022 / Approved: 8 August 2022 / Online: 8 August 2022 (09:53:02 CEST)
How to cite: KRISHNA, K. M. C*-algebraic Bieberbach, Robertson, Lebedev-Milin, Zalcman, Krzyz and Corona Conjectures. Preprints 2022, 2022080140. https://doi.org/10.20944/preprints202208.0140.v1 KRISHNA, K. M. C*-algebraic Bieberbach, Robertson, Lebedev-Milin, Zalcman, Krzyz and Corona Conjectures. Preprints 2022, 2022080140. https://doi.org/10.20944/preprints202208.0140.v1
Abstract
We study C*-algebraic versions of following conjectures/theorems: (1) Bieberbach conjecture (de Branges theorem) (2) Robertson conjecture (3) Lebedev-Milin conjecture (4) Zalcman conjecture (5) Krzyz conjecture (6) Corona conjecture (Carleson theorem). We prove that the C*-algebraic Bieberbach Conjecture for invertible coefficients is true for second degree C*-algebraic polynomials.
Keywords
C*-algebra; Bieberbach conjecture; de Branges theorem; Robertson conjecture; Lebedev-Milin conjecture; Zalcman conjecture; Krzyz conjecture; Corona conjecture; Riemann mapping theorem
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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