Semi-groups of rank-preserving transformers on minimal norm ideals in $ℬ\left(ℋ\right)$
Compositio Mathematica, Volume 30 (1975) no. 2, pp. 113-136.
@article{CM_1975__30_2_113_0,
author = {Prugove\v{c}ki, E. and Tip, A.},
title = {Semi-groups of rank-preserving transformers on minimal norm ideals in $\mathcal {B} (\mathcal {H})$},
journal = {Compositio Mathematica},
pages = {113--136},
publisher = {Noordhoff International Publishing},
volume = {30},
number = {2},
year = {1975},
zbl = {0301.46048},
mrnumber = {374997},
language = {en},
url = {http://archive.numdam.org/item/CM_1975__30_2_113_0/}
}
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
SP  - 113
EP  - 136
VL  - 30
IS  - 2
PB  - Noordhoff International Publishing
UR  - http://archive.numdam.org/item/CM_1975__30_2_113_0/
UR  - https://zbmath.org/?q=an%3A0301.46048
UR  - https://www.ams.org/mathscinet-getitem?mr=374997
LA  - en
ID  - CM_1975__30_2_113_0
ER  - 
%0 Journal Article
%A Prugovečki, E.
%A Tip, A.
%T Semi-groups of rank-preserving transformers on minimal norm ideals in $\mathcal {B} (\mathcal {H})$
%J Compositio Mathematica
%D 1975
%P 113-136
%V 30
%N 2
%I Noordhoff International Publishing
%G en
%F 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, Volume 30 (1975) no. 2, pp. 113-136. http://archive.numdam.org/item/CM_1975__30_2_113_0/

[1] R. Schatten: Norm ideals of completely continuous operators. Springer Verlag, Berlin, 1960. | MR | Zbl

[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. | MR | Zbl

[3] I.C. Gohberg and M.G. Krein: Theory and applications of Volterra operators in Hilbert Space. American Mathematical Society, Providence, Rhode Island, 1970. | MR | Zbl

[4] G.G. Emch: The definition of states in quantum statistical mechanics. J. Math. Phys., 7 (1966) 1413-1420, | MR | Zbl

E. Prugovečki and A. Tip: On ergodic limits of normal states. J. Math. Phys 15 (1974) 275-282. | MR

[5] E. Prugovečki: Scattering theory in Fock space. J. Math. Phys. 13 (1972) 969-976, | MR

E. Prugovečki: Multichannel stationary scattering theory in two Hilbert space formulation. J. Math. Phys. 14 (1973) 957-962. | MR | Zbl

[6] K. Yosida: Functional Analysis. Springer Verlag, Berlin, 1966. | Zbl

[7] F. Riesz and B. Sz.-Nagy: Functional Analysis. Frederick Ungar Publishing Co., New York, 1955. | MR | Zbl

[8] V. Bargmann: On unitary ray representations of continuous groups. Ann. Math. 59 (1954) 1-46. | MR | Zbl

[9] V. Bargmann: Note on Wigner's theorem on symmetry operations. J. Math. Phys. 5 (1964) 862-868. | MR | Zbl

[10] N. Dunford and J.T. Schwartz: Linear operators, Part III. Wiley-Interscience. New York, 1971. | MR | Zbl

[11] J. Dixmier: Les algèbres d'opérateurs dans l'espace Hilbertien. Gauthier-Villars, Paris, 1969. | Zbl

[12] W.G. Bade: Unbounded spectral operators. Pacific J. Math. 4 (1954) 373-392. | MR | Zbl

[13] E. Berkson and H.R. Dowson: Prespectral operators. Illinois J. Math. 13 (1969) 291-315. | MR | Zbl

[14] J.H. Anderson and C. Foias: On Normal derivation II (to appear).

[15] S.R. Foguel: Sums and products of commuting spectral operators. Ark. Math. 3 (1958) 449-461. | MR | Zbl

[16] C.A. Mccarthy: Cp. Israel J. Math. 5 (1967) 249-271. | MR | Zbl