I am wondering if there is any source which disusses quasi-norms on a tensor product of quasi-Banach spaces. Without duality, this topic is likely much less interesting but I wonder if there are examples beyond trivial ones that can be constructed, e.g. p-convex quasi-tensor norms for products of locally-p-convex spaces analogous to the projective tensor norm for products of Banach spaces.
I remember now Louis Auslander’s earlier study on unitary representation of locally compact groups. First I considered it as the problem of local class field theory like that of Bryan Birch’s K2. However the filtration -method-before topological group meditation must be probably Auslander is suggestive. I could read recently his Yale Univ lecture note 1961-1962.
see
Tensor products of normed and Banach quasi *-algebras
Adamo, Maria Stella, Fragoulopoulou, Maria
Journal:
Journal of Mathematical Analysis and Applications
Year:
2020
Hello, I apologize for the delay in answering you. My field of work is dynamic systems
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