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Arazy, J.; Lindenstrauss, J.

Some linear topological properties of the spaces \(C_p\) of operators on Hilbert space. (English) Zbl 0302.47034

Compos. Math. 30, 81-111 (1975).
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Cited in 4 Reviews
Cited in 28 Documents

MSC:

47L05 Linear spaces of operators
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
46A45 Sequence spaces (including Köthe sequence spaces)
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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\textit{J. Arazy} and \textit{J. Lindenstrauss}, Compos. Math. 30, 81--111 (1975; Zbl 0302.47034)
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References:

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[2] Y. Friedman : Subspaces of LC(H) and Cp . (to appear)
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[4] I.C. Gohberg and M.G. Krein : Introduction to the theory of linear non-self-adjoint operators (translated from Russian) . Amer. Math. Soc. 1969. · Zbl 0181.13503
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[12] J. Lindenstrauss and A. Pelczynski : Contribution to the theory of the classical Banach spaces . J. Functional Anal. 8 (1971) 225-249. · Zbl 0224.46041
[13] J. Lindenstrauss and L. Tzafriri : Classical Banach spaces . Springer Lecture Notes 338, 1973. · Zbl 0259.46011
[14] V.I. Macaev : Volterra operators produced by perturbation of self-adjoint operators . Soviet Math. 2 (1961) 1013-1016. · Zbl 0119.32202
[15] Ch. A. Mccarthy : Cp . Israel J. Math. 5 (1967) 249-271. · Zbl 0156.37902
[16] N. Tomczak-Jaegermann : The moduli of smoothness and convexity and the Rademacher averages of trace classes Sp, 1 \leq p < \infty . Studia Math. (to appear) · Zbl 0282.46016
[17] P. Wytaszczyk : On complemented subspaces and unconditional bases in lp+lq . Studia Math. 47 (1973) 197-206. · Zbl 0267.46010
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