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Riesz trace class operators

Robert Elliott

Compositio Mathematica (1970)

  • Volume: 22, Issue: 2, page 143-163
  • ISSN: 0010-437X

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Elliott, Robert. "Riesz trace class operators." Compositio Mathematica 22.2 (1970): 143-163. <http://eudml.org/doc/89045>.

@article{Elliott1970,
author = {Elliott, Robert},
journal = {Compositio Mathematica},
keywords = {functional analysis},
language = {eng},
number = {2},
pages = {143-163},
publisher = {Wolters-Noordhoff Publishing},
title = {Riesz trace class operators},
url = {http://eudml.org/doc/89045},
volume = {22},
year = {1970},
}

TY - JOUR
AU - Elliott, Robert
TI - Riesz trace class operators
JO - Compositio Mathematica
PY - 1970
PB - Wolters-Noordhoff Publishing
VL - 22
IS - 2
SP - 143
EP - 163
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/89045
ER -

References

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  1. S.R. Caradus [1] Operators of Riesz type. Pacific Jour. Math.18 (1966), 61-72. Zbl0144.38601MR199704
  2. J. Dieudonné [2] Foundations of Modern Analysis. Academic Press. New York, 1960. Zbl0100.04201MR120319
  3. N. Dunford And J.T. Schwartz [3] Linear Operators, Part II. Interscience. New York, 1963. Zbl0128.34803MR188745
  4. R.J. Elliott [4] Diagrams of topological groups. To appear. Zbl0206.31602
  5. A. Grothendieck [5] Produits Tensoriels Topologiques et Espaces Nucléaires. American Math. Soc. Memoirs no. 16. Providence R.I. (1955). Zbl0123.30301MR75539
  6. A. Grothendieck [6] La Théorie de Fredholm. Bull. Soc. Math., France. 84 (1956), 319-384. Zbl0073.10101MR88665
  7. I.M. Gelfand AND N. Ya. Vilenkin. [7] Generalized Functions. Volume 4. Academic Press, New York (1964). 
  8. V.B. Lidskii [8] Non self-adjoint operators which have a trace. (Russian). Doklady Acad. Nauk. S.S.S.R.125 (1959). 485-487. Zbl0104.33801
  9. J. Leray [9] Théorie des points fixes: indice total et nombre de Lefschetz. Bull. Soc. Math., France, 87 (1959) 221-223. Zbl0093.36702MR143202
  10. S. Maclane [10] Homology. Springer-Verlag. Berlin. Zbl0133.26502MR349792
  11. A.F. Ruston [11) Formulae of Fredholm type for compact linear operators on a general Banach space. Proc. London Math. Soc. (3), 3, (1953), 368-377. Zbl0050.34203MR56834
  12. A.F. Ruston [12] Operators with a Fredholm theory. Jour. London Math. Soc.29 (1954) 318-326. Zbl0055.10902MR62345
  13. R. Schatten [13] A theory of cross spaces. Annals of Mathematics Studies no. 26. Princeton1950. Zbl0041.43502MR36935
  14. A.E. Taylor [14] Introduction to Functional Analysis. Wiley. New York1958. Zbl0081.10202MR98966
  15. T.T. West [15] Riesz operators in Banach spaces. Proc. London Math. Soc.16 (1966) 131-140. Zbl0139.08401MR193522
  16. T.T. West [16] The decomposition of Riesz operators. Proc. London Math. Soc.16 (1966) 737-752. Zbl0144.17604MR198258
  17. K. Yoshida [17] Functional AnalysisSpringer-Verlag. Berlin1965. Zbl0126.11504

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