@article{CM_1975__30_2_113_0, author = {Prugove\v cki, E. and Tip, A.}, title = {Semi-groups of rank-preserving transformers on minimal norm ideals in $\mathcal {B} (\mathcal {H})$}, journal = {Compositio Mathematica}, volume = {31}, year = {1975}, pages = {113-136}, mrnumber = {374997}, zbl = {0301.46048}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1975__30_2_113_0} }
Prugovečki, E.; Tip, A. Semi-groups of rank-preserving transformers on minimal norm ideals in $\mathcal {B} (\mathcal {H})$. Compositio Mathematica, Tome 31 (1975) pp. 113-136. http://gdmltest.u-ga.fr/item/CM_1975__30_2_113_0/
[1] Norm ideals of completely continuous operators. Springer Verlag, Berlin, 1960. | MR 119112 | Zbl 0090.09402
:[2] Introduction to the theory of linear non self adjoint operators. American Mathematical Society, Providence, Rhode Island, 1969. | MR 246142 | Zbl 0181.13504
and :[3] Theory and applications of Volterra operators in Hilbert Space. American Mathematical Society, Providence, Rhode Island, 1970. | MR 264447 | Zbl 0194.43804
and :[4] The definition of states in quantum statistical mechanics. J. Math. Phys., 7 (1966) 1413-1420, | MR 207350 | Zbl 0151.44905
:On ergodic limits of normal states. J. Math. Phys 15 (1974) 275-282. | MR 398354
and :[5] Scattering theory in Fock space. J. Math. Phys. 13 (1972) 969-976, | MR 319502
:Multichannel stationary scattering theory in two Hilbert space formulation. J. Math. Phys. 14 (1973) 957-962. | MR 337212 | Zbl 0257.47011
:[6] Functional Analysis. Springer Verlag, Berlin, 1966. | Zbl 0126.11504
:[7] Functional Analysis. Frederick Ungar Publishing Co., New York, 1955. | MR 71727 | Zbl 0732.47001
and :[8] On unitary ray representations of continuous groups. Ann. Math. 59 (1954) 1-46. | MR 58601 | Zbl 0055.10304
:[9] Note on Wigner's theorem on symmetry operations. J. Math. Phys. 5 (1964) 862-868. | MR 164620 | Zbl 0141.23205
:[10] Linear operators, Part III. Wiley-Interscience. New York, 1971. | MR 1009164 | Zbl 0635.47003
and :[11] Les algèbres d'opérateurs dans l'espace Hilbertien. Gauthier-Villars, Paris, 1969. | Zbl 0175.43801
:[12] Unbounded spectral operators. Pacific J. Math. 4 (1954) 373-392. | MR 63566 | Zbl 0056.34801
:[13] Prespectral operators. Illinois J. Math. 13 (1969) 291-315. | MR 250095 | Zbl 0175.43402
and :[14] On Normal derivation II (to appear).
and :[15] Sums and products of commuting spectral operators. Ark. Math. 3 (1958) 449-461. | MR 104154 | Zbl 0081.12301
:[16] 5 (1967) 249-271. | MR 225140 | Zbl 0156.37902
: Cp. Israel J. Math.