## Type constants and (q,2)-summing norms defined by n vectors.(English)Zbl 0449.47037

### MSC:

 47L10 Algebras of operators on Banach spaces and other topological linear spaces 47B10 Linear operators belonging to operator ideals (nuclear, $$p$$-summing, in the Schatten-von Neumann classes, etc.)

### Keywords:

(q,2)-summing norms; type P and cotype Q constants

Zbl 0436.47033
Full Text:

### References:

 [1] D. J. H. Garling and Y. Gordon,Relations between some constants associated with finite dimensional Banach spaces, Israel J. Math.9 (1971), 346–361. · Zbl 0212.14203 [2] T. Holmstedt,Interpolation of quasinormal spaces, Math. Scand.26 (1970), 177–199. · Zbl 0193.08801 [3] H. König,Interpolation of operator ideals with an application to eigenvalue distribution problems, Math. Ann.233 (1978), 35–48. · Zbl 0364.47011 [4] D. R. Lewis,The dimensions of complemented hilbertian subspaces of uniformly convex Banach lattices, to appear. · Zbl 0531.46017 [5] A. Pietsch,Factorization theorems for some scales of operator ideals, to appear in Math. Nachr. · Zbl 0455.47032 [6] N. Tomczak-Jaegermann,Computing 2-summing norm with few vectors, Ark. Math.17 (1979), 273–277. · Zbl 0436.47033 [7] N. Tomczak-Jaegermann, in preparation.
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