Operator space

In functional analysis, a discipline within mathematics, an operator space is a Banach space "given together with an isometric embedding into the space B(H) of all bounded operators on a Hilbert space H."[1] The category of operator spaces includes operator algebras.[2]

References

  1. ^ Pisier, Gilles (2003). Introduction to Operator Space Theory. Cambridge University Press. p. 1. ISBN 9780521811651. http://books.google.com/books?id=0pKL-o7WUOAC&pg=PA1&dq=Operator+space. Retrieved 2008-12-18. 
  2. ^ Blecher, David P. and Christian Le Merdy (2004). Operator Algebras and Their Modules: An Operator Space Approach. Oxford University Press. First page of Preface. ISBN 9780198526599. http://books.google.com/books?id=lwprbgvFA4IC&pg=PP11&dq=%22Operator+space%22. Retrieved 2008-12-18.