This book familiarizes both popular and fundamental notions and
techniques from the theory of non-normed topological algebras with
involution, demonstrating with examples and basic results the
necessity of this perspective. The main body of the book is
focussed on the Hilbert-space (bounded) representation theory of
topological *-algebras and their topological tensor products, since
in our physical world, apart from the majority of the existing
unbounded operators, we often meet operators that are forced to be
bounded, like in the case of symmetric *-algebras. So, one gets an
account of how things behave, when the mathematical structures are
far from being algebras endowed with a complete or non-complete
algebra norm. In problems related with mathematical physics, such
instances are, indeed, quite common.
Key features:
- Lucid presentation
- Smooth in reading
- Informative
- Illustrated by examples
- Familiarizes the reader with the non-normed *-world
- Encourages the hesitant
- Welcomes new comers.
- Well written and lucid presentation.
- Informative and illustrated by examples.
- Familiarizes the reader with the non-normed *-world.
General
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