scholarly journals Norms on direct sums and tensor products

1972 ◽  
Vol 26 (118) ◽  
pp. 401-401 ◽  
Author(s):  
P. Lancaster ◽  
H. K. Farahat
Keyword(s):  
1995 ◽  
Vol 118 (2) ◽  
pp. 287-301 ◽  
Author(s):  
Denny H. Leung

AbstractA Banach space is c0-saturated if all of its closed infinite-dimensional subspaces contain an isomorph of c0. In this article, we study the stability of this property under the formation of direct sums and tensor products. Some of the results are: (1) a slightly more general version of the fact that c0-sums of c0-saturated spaces are c0-saturated; (2) C(K, E) is c0-saturated if both C(K) and E are; (3) the tensor product is c0-saturated, where JH is the James Hagler space


2003 ◽  
pp. 227-234
Author(s):  
Philippe Blanchard ◽  
Erwin Brüning
Keyword(s):  

1990 ◽  
Vol 42 (3) ◽  
pp. 561-574 ◽  
Author(s):  
Murray R. Bremner

AbstractThe two Virasoro superalgebras, known as the Neveu- Schwarz algebra and the Ramond algebra, each have two unitary irreducible lowest weight modules with central charge . In this paper, I show how tensor products of these modules decompose into finite direct sums of irreducible modules with central charge .


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