Theory of operator algebras. I

Takesaki, M. (2002). Theory of operator algebras. I. Springer-Verlag.

Type

Book

Intellectual base

Review or monograph

Year

2002

Link

https://openlibrary.org/isbn/9783540422488verified

Cited by

3 citations across 2 artifacts.

Domain-specific

• Ultrastrong topology
  • The ultrastrong or sigma-strong topology on B(H) strengthens the strong operator topology by controlling summed squared norms over countable vector families, and agrees with key intrinsic von Neumann-algebra formulations.
  • … demonstrates that Hilbert space or von Neumann algebra representation, vector-family or normal-functional seminorm convention, boundedness assumptions, and net convergence are declared. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..
• Ultraweak Topology
  • A net x_i converges ultraweakly to x exactly when φ(x_i)→φ(x) for every normal functional φ.

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