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Spectral Theory of Multivalued Linear Operators (Hardcover)
Loot Price: R4,111
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Spectral Theory of Multivalued Linear Operators (Hardcover)
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The concept of multivalued linear operators-or linear relations-is
the one of the most exciting and influential fields of research in
modern mathematics. Applications of this theory can be found in
economic theory, noncooperative games, artificial intelligence,
medicine, and more. This new book focuses on the theory of linear
relations, responding to the lack of resources exclusively dealing
with the spectral theory of multivalued linear operators. The
subject of this book is the study of linear relations over real or
complex Banach spaces. The main purposes are the definitions and
characterization of different kinds of spectra and extending the
notions of spectra that are considered for the usual one
single-valued operator bounded or not bounded. The volume
introduces the theory of pseudospectra of multivalued linear
operators. The main topics include demicompact linear relations,
essential spectra of linear relation, pseudospectra, and essential
pseudospectra of linear relations. The volume will be very useful
for researchers since it represents not only a collection of a
previously heterogeneous material but is also an innovation through
several extensions. Beginning graduate students who wish to enter
the field of spectral theory of multivalued linear operators will
benefit from the material covered, and expert readers will also
find sources of inspiration.
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