Analytic Function Spaces
Properties of Operators and Duality
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The core of this book are Banach spaces of analytic functions on the unit disk. Not only do we study how operators like composition operators, multiplication operators and weighted composition operators behave when operating on different such spaces, but alsohow the Banach spaces in question relate to other Banach spaces. We study the dual and predual spaces of Banach spaces and introduce some new spaces in the process. Properties of the operators mentioned above that we investigate are amongst others; the spectrum, the closed range property and boundedness. The book is based on three original...
The core of this book are Banach spaces of analytic
functions on the unit disk. Not only do we study how
operators like composition operators, multiplication
operators and weighted composition operators behave
when operating on different such spaces, but also
how the Banach spaces in question relate to other
Banach spaces. We study the dual and predual spaces
of Banach spaces and introduce some new spaces in
the process. Properties of the operators mentioned
above that we investigate are amongst others; the
spectrum, the closed range property and boundedness.
The book is based on three original papers that have
been published in international mathematical
journals with high impact factors. The original
intention of writing this book was the fact that it
served as the PhD thesis of the author.
functions on the unit disk. Not only do we study how
operators like composition operators, multiplication
operators and weighted composition operators behave
when operating on different such spaces, but also
how the Banach spaces in question relate to other
Banach spaces. We study the dual and predual spaces
of Banach spaces and introduce some new spaces in
the process. Properties of the operators mentioned
above that we investigate are amongst others; the
spectrum, the closed range property and boundedness.
The book is based on three original papers that have
been published in international mathematical
journals with high impact factors. The original
intention of writing this book was the fact that it
served as the PhD thesis of the author.
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