On tensor products of locally convex -spaces with applications to λ-nuclearity

1980 ◽  
Vol 94 (1) ◽  
pp. 291-302
Author(s):  
Heikki Apiola
Keyword(s):  
Tensor Products ◽  
Locally Convex Spaces ◽  
Locally Convex ◽  
Convex Spaces

scholarly journals Analyticity and quasi-Banach valued functions

1990 ◽  
Vol 42 (3) ◽  
pp. 369-382
Author(s):  
Antonio Bernal ◽  
Joan Cerdà
Keyword(s):  
Tensor Products ◽  
Locally Convex Spaces ◽  
Vector Valued Functions ◽  
Topological Tensor Products ◽  
Vector Valued ◽  
Locally Convex ◽  
Topological Tensor ◽  
Convex Spaces

We compare the definitions of analyticity of vector-valued functions and their connections with the topological tensor products of non-locally convex spaces.

scholarly journals The countable neighbourhood property and tensor products

1985 ◽  
Vol 28 (2) ◽  
pp. 207-215 ◽  
Author(s):  
José Bonet
Keyword(s):  
Convex Hull ◽  
Convex Space ◽  
Tensor Products ◽  
Locally Convex Space ◽  
Locally Convex Spaces ◽  
Linear Hull ◽  
Continuous Seminorms ◽  
The Stability ◽  
Locally Convex ◽  
Convex Spaces

This article is intended to enlarge the study of spaces satisfying the countable neighbourhood property and to clarify the incidence of this property in the stability of some locally convex properties of tensor products.We shall use the standard notations of locally convex spaces as in [17] and [18]. The word space will always mean separated locally convex space. If (£, t) is a space, the set of all continuous seminorms on it will be denoted by cs(E). The linear hull and the absolutely convex hull of a subset C of a space will be written lin(C) and г(C) respectively.

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