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Several Complex Variables and Banach Algebras (Graduate Texts in Mathematics (35)) by Herbert Alexander, John Wermer (auth.) is a nonfiction available to read on EtoBox.

What is Several Complex Variables and Banach Algebras (Graduate Texts in Mathematics (35)) about?

During the past twenty years many connections have been found between thetheory of analytic functions of one or more complex variables and the study ofcommutative Banach algebras. On the one hand, function theory has been used toanswer algebraic questions such as the question of the existence of idempotents ina Banach algebra. On the other hand, concepts arising from the study of Banachalgebras such as the maximal ideal space, the ˇ Silov boundary, Gleason parts, etc.have led to new questions and to new methods of proof in function theory.Roughlyonethirdofthisbookisconcernedwithdevelopingsomeoftheprinci-palapplicationsoffunctiontheoryinseveralcomplexvariablestoBanachalgebras.Wepresupposenoknowledgeofseveralcomplexvariablesonthepartofthereaderbut develop the necessary material from scratch. The remainder of the book dealswith problems of uniform approximation on compact subsets of the space of ncomplex variables. For n > 1 no complete theory exists but many importantparticular problems have been solved.Throughout, our aim has been to make the exposition elementary and self-contained. We have cheerfully sacrificed generality and completeness all alongthe way in order to make it easie

Who reads Several Complex Variables and Banach Algebras (Graduate Texts in Mathematics (35))?

Author

Herbert Alexander, John Wermer (auth.)

Publisher

Springer-Verlag New York, Incorporated

Published

1998

Language

EN

ISBN

9780387982533

Category

nonfiction

Subjects

Mathematics, Mathematical Theory, Stem