Topologies and bornologies determined by operator ideals, II
Ngai-Ching Wong (1994)
Studia Mathematica
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Let be an operator ideal on LCS’s. A continuous seminorm p of a LCS X is said to be - continuous if , where is the completion of the normed space and is the canonical map. p is said to be a Groth()- seminorm if there is a continuous seminorm q of X such that p ≤ q and the canonical map belongs to . It is well known that when is the ideal of absolutely summing (resp. precompact, weakly compact) operators, a LCS X is a nuclear (resp. Schwartz, infra-Schwartz) space if and only...