On Composition Ideals and Dual Ideals of Bounded Holomorphic Mappings
On Composition Ideals and Dual Ideals of Bounded Holomorphic Mappings
Abstract Applying a linearization theorem due to Mujica (Trans Am Math Soc 324:867–887, 1991), we study the ideals of bounded holomorphic mappings $$\mathcal {I}\circ \mathcal {H}^\infty $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>I</mml:mi> <mml:mo>∘</mml:mo> <mml:msup> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mi>∞</mml:mi> </mml:msup> </mml:mrow> </mml:math> generated by composition with an operator ideal $$\mathcal {I}$$ <mml:math …