Preliminaries and notation

  • Robert Schatten
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE1, volume 27)


The prerequisites for a thorough understanding of this essentially selfcontained exposition are quite modest. Rather than to write a small textbook on these, or go to the other extreme and say that these are well known and may be easily found in the literature, some sort of a middle road seems to offer a more satisfactory solution. We state a sufficient number of references and merely redefine a few notions, some of which, though not overemphasized in standard texts, play an important part in our discussion. We also reconstruct the proof of the “polar decomposition” for operators which indeed plays a central role in this exposition.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1970

Authors and Affiliations

  • Robert Schatten
    • 1
  1. 1.Hunter CollegeNew YorkUSA

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