Absolutely- p -summing operators in ℒ r -spaces I

A. Pietsch

Séminaire Équations aux dérivées partielles (Polytechnique) (1970-1971)

  • page 1-14

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Pietsch, A.. "Absolutely-$p$-summing operators in $\mathcal {L}_r$-spaces I." Séminaire Équations aux dérivées partielles (Polytechnique) (1970-1971): 1-14. <http://eudml.org/doc/111523>.

@article{Pietsch1970-1971,
author = {Pietsch, A.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {eng},
pages = {1-14},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Absolutely-$p$-summing operators in $\mathcal \{L\}_r$-spaces I},
url = {http://eudml.org/doc/111523},
year = {1970-1971},
}

TY - JOUR
AU - Pietsch, A.
TI - Absolutely-$p$-summing operators in $\mathcal {L}_r$-spaces I
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1970-1971
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 14
LA - eng
UR - http://eudml.org/doc/111523
ER -

References

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  1. [1] J. Bretagnolle, D. Dacunha-Castelle et J.L. Krivine: Lois stables et espaces Lp, Ann. Inst. Henri PoincaréB, 2 (1966) 231-259. Zbl0139.33501MR203757
  2. [2] J.S. Cohen: Absolutely p-summing, p-nuclear operators and their conjugates, Dissertation, Maryland1969. Zbl0233.47019
  3. [3] D.J.H. Garling: Absolutely p-summing operators in Hilbert spaces, Studia Math.38 (1970) 319-331. Zbl0203.45502MR281050
  4. [4] B.V. Gnedenko and A.N. Kolmogorov: Limit distributions for sums of independent random variables, Cambridge Mass.1954. Zbl0056.36001MR62975
  5. [5] A. Grothendieck: Résumé de la théorie métrique des produits tensoriels topologiques, Boletim Soc. Mat. Sao Paulo8 (1956) 1-79. Zbl0074.32303MR94682
  6. [6] S. Kwapień: A remark on p-absolutely summing operators in lr -spaces, Studia Math.34 (1970) 109-111. Zbl0189.43601MR259656
  7. [7] S. Kwapień: On a theorem of L. Schwartz and its applications to absolutely summing operators, Studia Math.38 (1970) 193-201. Zbl0211.43505MR278090
  8. [8] J. Lindenstrauss and A. Pełczyński: Absolutely summing operators in Lp-spaces and their applications, Studia Math.29 (1968) 275-326. Zbl0183.40501
  9. [9] A. Pełczyński: A characterization of Hilbert-Schmidt operators, Studia Math.28 (1967) 355-360. Zbl0156.38001
  10. [10] A. Persson and A. Pietsch: p-nukleare und p-integrale Abbildungen in Banachräümen, Studia Math.33 (1969) 19-62. Zbl0189.43602MR243323
  11. [11] A. Pietsch: Absolut-p-summierende Abbildungen in normierten. Räumen. Studia Math.28 (1967) 333-353. Zbl0156.37903MR216328
  12. [12] P. Saphar: Applications p-sommantes et p-décomposantes, C. R. Acad. Sc. Paris270A (1970) 1093-1096. Zbl0247.47017MR265921
  13. [13] L. Schwartz: C. R. Acad. Sc. Paris268A (1969) 1410-1413, 1612-1615. Zbl0181.43402MR248894
  14. [14] L. Schwartz: Applications radonifiantes, Séminaire d'Analyse del'Ecole Polytechnique, Paris1969-1970. 
  15. [15] L. Schwartz: Applications p-radonifiantes et théorème de dualité, Studia Math.38 (1970) 203-213. Zbl0211.43601MR301163

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