On large subspaces of the Schatten p -classes

Jonathan Arazy

Compositio Mathematica (1980)

  • Volume: 41, Issue: 3, page 297-336
  • ISSN: 0010-437X

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Arazy, Jonathan. "On large subspaces of the Schatten $p$-classes." Compositio Mathematica 41.3 (1980): 297-336. <http://eudml.org/doc/89460>.

@article{Arazy1980,
author = {Arazy, Jonathan},
journal = {Compositio Mathematica},
keywords = {Schatten p-classes; triangular projection; complemented subspaces; tensor-product representation},
language = {eng},
number = {3},
pages = {297-336},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {On large subspaces of the Schatten $p$-classes},
url = {http://eudml.org/doc/89460},
volume = {41},
year = {1980},
}

TY - JOUR
AU - Arazy, Jonathan
TI - On large subspaces of the Schatten $p$-classes
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 41
IS - 3
SP - 297
EP - 336
LA - eng
KW - Schatten p-classes; triangular projection; complemented subspaces; tensor-product representation
UR - http://eudml.org/doc/89460
ER -

References

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  1. [1] J. Arazy and J. Lindenstrauss: Some linear topological properties of the spaces Cp of operators on Hilbert space. Compositio Math.30 (1975) 81-111. Zbl0302.47034MR372669
  2. [2] J. Arazy and Y. Friedman: The isometries of Cn,mp into Cp, Israel J. Math.26 (1977) 151-165. Zbl0345.47035MR440396
  3. [3] C.E. Clever: Interpolation and extension of Lipschitz-Hölder maps on Cp spaces. Colloquium Math.27 (1973) 83-87. Zbl0248.47037MR343014
  4. [4] Y. Friedman: Subspaces of LC(H) and CP. Proc. Amer. Math. Soc. 53 (1975) 117-122. Zbl0327.47008MR377592
  5. [5] I.C. Gohberg and M.G. Krein: Introduction to the theory of linear nonselfadjoint operators, Amer. Math. Soc. Translations, Vol. 18. Zbl0181.13504MR246142
  6. [6] I.C. Gohberg and M.G. Krein: Theory and applications of Volterra operators on Hilbert spaces, Amer. Math. Soc. Translations, Vol. 24. Zbl0194.43804
  7. [7] J. Lindenstruss and L. Tzafriri: Classical Banach Spaces I, Sequence Spaces, Springer-Verlag, 1977. Zbl0362.46013MR500056
  8. [8] Ch.A. Mccarthy: Cp. Israel J. Math. 5 (1967) 249-271. Zbl0156.37902MR225140
  9. [9] E. Odell: On complemented subspaces of (Σ l2)lp. Israel J. Math. 23 (1976) 353-367. Zbl0333.46005
  10. [10] N. Tomczak-Jaegermann: The moduli of smoothness and convexity and Rademacher averages of trace classes Sp (1 ≤ p &lt; ∞). Studia Math.50 (1974) 163-182. Zbl0282.46016

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