2 problems

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Strong conjecture on pre-quasi Gelfand triples
Strong conjecture. Every pre-quasi Gelfand triple is a quasi Gelfand triple.
Conjectureopenfunctional-analysis gelfand-triplesarXiv posted 3 days ago
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Weak conjecture on pre-quasi Gelfand triples of Hilbert spaces
Weak conjecture. Every pre-quasi Gelfand triple of Hilbert spaces is a quasi Gelfand triple.
Conjectureopenfunctional-analysis gelfand-triples hilbert-spacesarXiv posted 3 days ago

Strong conjecture on pre-quasi Gelfand triples