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We study connected components of a common zero set of equivalent singular inner functions in the maximal ideal space of the Banach algebra of bounded analytic functions on the open unit disk. To study topological properties of zero sets of inner functions, we give a new type of factorization theorem for inner functions.
Keiji Izuchi. "Common zero sets of equivalent singular inner functions II." Studia Mathematica 180.2 (2007): 133-142. <http://eudml.org/doc/285371>.
@article{KeijiIzuchi2007, abstract = {We study connected components of a common zero set of equivalent singular inner functions in the maximal ideal space of the Banach algebra of bounded analytic functions on the open unit disk. To study topological properties of zero sets of inner functions, we give a new type of factorization theorem for inner functions.}, author = {Keiji Izuchi}, journal = {Studia Mathematica}, keywords = {singular inner function; factorization theorem; maximal ideal space; common zero set}, language = {eng}, number = {2}, pages = {133-142}, title = {Common zero sets of equivalent singular inner functions II}, url = {http://eudml.org/doc/285371}, volume = {180}, year = {2007}, }
TY - JOUR AU - Keiji Izuchi TI - Common zero sets of equivalent singular inner functions II JO - Studia Mathematica PY - 2007 VL - 180 IS - 2 SP - 133 EP - 142 AB - We study connected components of a common zero set of equivalent singular inner functions in the maximal ideal space of the Banach algebra of bounded analytic functions on the open unit disk. To study topological properties of zero sets of inner functions, we give a new type of factorization theorem for inner functions. LA - eng KW - singular inner function; factorization theorem; maximal ideal space; common zero set UR - http://eudml.org/doc/285371 ER -