Semi-groups of rank-preserving transformers on minimal norm ideals in ℬ ( ℋ )

E. Prugovečki; A. Tip

Compositio Mathematica (1975)

  • Volume: 30, Issue: 2, page 113-136
  • ISSN: 0010-437X

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Prugovečki, E., and Tip, A.. "Semi-groups of rank-preserving transformers on minimal norm ideals in $\mathcal {B} (\mathcal {H})$." Compositio Mathematica 30.2 (1975): 113-136. <http://eudml.org/doc/89249>.

@article{Prugovečki1975,
author = {Prugovečki, E., Tip, A.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {113-136},
publisher = {Noordhoff International Publishing},
title = {Semi-groups of rank-preserving transformers on minimal norm ideals in $\mathcal \{B\} (\mathcal \{H\})$},
url = {http://eudml.org/doc/89249},
volume = {30},
year = {1975},
}

TY - JOUR
AU - Prugovečki, E.
AU - Tip, A.
TI - Semi-groups of rank-preserving transformers on minimal norm ideals in $\mathcal {B} (\mathcal {H})$
JO - Compositio Mathematica
PY - 1975
PB - Noordhoff International Publishing
VL - 30
IS - 2
SP - 113
EP - 136
LA - eng
UR - http://eudml.org/doc/89249
ER -

References

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  1. [1] R. Schatten: Norm ideals of completely continuous operators. Springer Verlag, Berlin, 1960. Zbl0090.09402MR119112
  2. [2] I.C. Gohberg and M.G. Krein: Introduction to the theory of linear non self adjoint operators. American Mathematical Society, Providence, Rhode Island, 1969. Zbl0181.13504MR246142
  3. [3] I.C. Gohberg and M.G. Krein: Theory and applications of Volterra operators in Hilbert Space. American Mathematical Society, Providence, Rhode Island, 1970. Zbl0194.43804MR264447
  4. [4] G.G. Emch: The definition of states in quantum statistical mechanics. J. Math. Phys., 7 (1966) 1413-1420, Zbl0151.44905MR207350
  5. E. Prugovečki and A. Tip: On ergodic limits of normal states. J. Math. Phys15 (1974) 275-282. MR398354
  6. [5] E. Prugovečki: Scattering theory in Fock space. J. Math. Phys.13 (1972) 969-976, MR319502
  7. E. Prugovečki: Multichannel stationary scattering theory in two Hilbert space formulation. J. Math. Phys.14 (1973) 957-962. Zbl0257.47011MR337212
  8. [6] K. Yosida: Functional Analysis. Springer Verlag, Berlin, 1966. Zbl0126.11504
  9. [7] F. Riesz and B. Sz.-Nagy: Functional Analysis. Frederick Ungar Publishing Co., New York, 1955. Zbl0732.47001MR71727
  10. [8] V. Bargmann: On unitary ray representations of continuous groups. Ann. Math.59 (1954) 1-46. Zbl0055.10304MR58601
  11. [9] V. Bargmann: Note on Wigner's theorem on symmetry operations. J. Math. Phys.5 (1964) 862-868. Zbl0141.23205MR164620
  12. [10] N. Dunford and J.T. Schwartz: Linear operators, Part III. Wiley-Interscience. New York, 1971. Zbl0635.47003MR1009164
  13. [11] J. Dixmier: Les algèbres d'opérateurs dans l'espace Hilbertien. Gauthier-Villars, Paris, 1969. Zbl0175.43801
  14. [12] W.G. Bade: Unbounded spectral operators. Pacific J. Math.4 (1954) 373-392. Zbl0056.34801MR63566
  15. [13] E. Berkson and H.R. Dowson: Prespectral operators. Illinois J. Math.13 (1969) 291-315. Zbl0175.43402MR250095
  16. [14] J.H. Anderson and C. Foias: On Normal derivation II (to appear). 
  17. [15] S.R. Foguel: Sums and products of commuting spectral operators. Ark. Math.3 (1958) 449-461. Zbl0081.12301MR104154
  18. [16] C.A. Mccarthy: Cp. Israel J. Math.5 (1967) 249-271. Zbl0156.37902MR225140

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