Novikov, S. Ya. Cotype and type of Lorentz function spaces. (English. Russian original) Zbl 0506.46023 Math. Notes 32, 586-590 (1983); translation from Mat. Zametki 32, 213-221 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 Documents MSC: 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46B20 Geometry and structure of normed linear spaces 46B42 Banach lattices Keywords:Lorentz function spaces; cotype; type; symmetric Banach space; Boyd indices; absolutely summing × Cite Format Result Cite Review PDF Full Text: DOI References: [1] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces, II. Function Spaces, Springer-Verlag, New York (1979). · Zbl 0403.46022 [2] B. Maurey and G. Pisier, ?Séries de variables aléatoires,? Stud. Math.,58, No. 1, 45-90 (1976). · Zbl 0344.47014 [3] A. B. Bukhvalov, A. I. Veksler, and G. Ya. Lozanovskii, ?Banach lattices ?some Banach aspects of the theory,? Usp. Mat. Nauk,34, No. 2, 137-183 (1979). [4] S. G. Krein, Yu. I. Petunin, and E. M. Semenov, Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978). [5] G. G. Lorentz, ?Some new functional spaces,? Ann. Math.,51, No. 1, 37-55 (1950). · Zbl 0035.35602 · doi:10.2307/1969496 [6] G. Ya. Lozanovskii, ?On localized functionals in vector structures,? in: Function Theory, Functional Analysis, and Applications [in Russian], Vol. 19, Kharkov (1974), pp. 66-80. [7] Yu. A. Abramovich and G. Ya. Lozanovskii, ?On some scalar characteristics of KN-lineals,? Mat. Zametki,14, No. 5, 723-732 (1973). [8] S. A. Rakov, ?On Lorentz spaces of sequences,? Mat. Zametki,20, No. 4, 501-510 (1976). [9] S. Ya. Novikov, E. M. Semenov, and E. V. Tokarev, ?Structure of subspaces of the spaces ?p(?).? Dokl. Akad. Nauk SSSR,247, No. 3, 552-554 (1979). [10] I. A. Komarchev, ?On 2-absolutely summing operators in some Banach spaces,? Mat. Zametki,25, No. 4, 591-602 (1979). · Zbl 0438.46003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.