Fundamentals of the Theory of Operator Algebras

Kadison, R. V., & Ringrose, J. R. (1997). Fundamentals of the Theory of Operator Algebras. Graduate Studies in Mathematics.

Type

Book

Intellectual base

Textbook

Year

1997

DOI

10.1090/gsm/015

ISBN

9780821808191

DOI registrant

American Mathematical Society

Link

https://doi.org/10.1090/gsm/015

Cited by

3 citations across 3 artifacts.

Domain-specific

• Gelfand–Naimark–Segal construction
  • The familiar model is a realization of the general quotient-and-completion recipe.
• Operator topologies
  • … constitutive identity and a convenient observable transfers from A canonical example satisfies the full defining rule of Operator topologies with assumptions and conventions explicit. to A careful use of Operator topologies tests the constitutive rule and nearest confusable rather than relying on the label alone..
• Positive element
  • The entry uses the standard C-star identity as its reference case and explicitly types weaker star-algebra conventions; it does not assert that every ordered algebra has the same spectral or root theory.

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