Date of Award
Bachelor of Arts
Dr. William T. Ross
In this paper, we explore certain Banach spaces of analytic functions. In particular, we study the space A-1, demonstrating some of its basic properties including non-separability. We ask the question: given a class C of analytic functions on the unit disk D and a sequence [Zn] = 0 for all n? Finally, we explore Mz invariant subspaces of A-1, demonstrating that they may possess the codimension-2 property.
Nimchek, Michael T., "Banach spaces of analytic functions" (1996). Honors Theses. 665.