This text introduces the basic elements of Linear Functional Analysis: Banach spaces and linear operators; spectrum and resolvent; Baire Theorem and its consequences; Hahn-Banach Theorem; dual spaces . . . . .
The second edition of this book about harmonic functions in Euclidean space was published in 2001 by Springer in its Graduate Texts in Mathematics series. Readers with a background in real and complex . . . . .
This book is an outgrowth of a course which we have given almost periodically over the last eight years. It is addressed to beginning graduate students of mathematics, engineering, and the physical sc . . . . .
Notes from a course taught by Palle Jorgensen in the fall semester of 2009. The course covered central themes in functional analysis and operator theory, with an emphasis on topics of special relevanc . . . . .
What is this good for? You may learn something about functional analytic
framework of topology. And you will get an access to more advanced
literature on non-commutative geometry, a quite recent top . . . . .
Contents: basics of holomorphic function spaces; examples of holomorphic function spaces; a special property of the Segal-Bargmann and weighted Bergamann spaces; canonical commutation relations; the S . . . . .