Operator Theory
Book information
Description
A one-sentence definition of operator theory could be: The study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Fréchet, Banach, or Hilbert spaces (or their duals). Operator theory is thus a very wide field, with numerous facets, both applied and theoretical. There are deep connections with complex analysis, functional analysis, mathematical physics, and electrical engineering, to name a few. Fascinating new applications and directions regularly appear, such as operator spaces, free probability, and applications to Clifford analysis. In our choice of the sections, we tried to reflect this diversity. This is a dynamic ongoing project, and more sections are planned, to complete the picture. We hope you enjoy the reading, and profit from this endeavor Front Matter....Pages i-xix Front Matter....Pages 1-1 Front Matter....Pages 3-30 Front Matter....Pages 31-58 Front Matter....Pages 59-71 Front Matter....Pages 73-86 Front Matter....Pages 87-110 Front Matter....Pages 111-125 Front Matter....Pages 127-148 Front Matter....Pages 149-150 Front Matter....Pages 151-163 Front Matter....Pages 165-182 Back Matter....Pages 183-218 ....Pages 219-239
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