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Non-Archimedean Operator Theory (Paperback, 1st ed. 2016)
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Non-Archimedean Operator Theory (Paperback, 1st ed. 2016)
Series: SpringerBriefs in Mathematics
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This book focuses on the theory of linear operators on
non-Archimedean Banach spaces. The topics treated in this book
range from a basic introduction to non-Archimedean valued fields,
free non-Archimedean Banach spaces, bounded and unbounded linear
operators in the non-Archimedean setting, to the spectral theory
for some classes of linear operators. The theory of Fredholm
operators is emphasized and used as an important tool in the study
of the spectral theory of non-Archimedean operators. Explicit
descriptions of the spectra of some operators are worked out.
Moreover, detailed background materials on non-Archimedean valued
fields and free non-Archimedean Banach spaces are included for
completeness and for reference. The readership of the book is aimed
toward graduate and postgraduate students, mathematicians, and
non-mathematicians such as physicists and engineers who are
interested in non-Archimedean functional analysis. Further, it can
be used as an introduction to the study of non-Archimedean operator
theory in general and to the study of spectral theory in other
special cases.
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