Non-archimedean Operator Theory (springerbriefs In Mathematics)
by Toka Diagana /
2016 / English / PDF
1.6 MB Download
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.
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.
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.