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Spaces of generalized operators with bounded projection trace

We construct a theory of Banach spaces of “generalized” operators with bounded projection trace over a given Hilbert space. This theory can be efficient in the investigation of evolution problems for quantum systems with infinitely many particles.

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Author information

Correspondence to Ya. I. Grushka.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 1, pp. 24–39, January, 2011.

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Grushka, Y.I. Spaces of generalized operators with bounded projection trace. Ukr Math J 63, 27 (2011). https://doi.org/10.1007/s11253-011-0486-z

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Keywords

  • Linear Space
  • Generalize Operator
  • Spectral Measure
  • Difference Variable
  • Linear Normed Space