EAN: 9783319273228

SPRINGERBRIEFS IN MATHEMATICS NON-ARCHIMEDEAN...

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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