# P. D. Mitchener

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Articles: 1

### Categories of unbounded operators

Paul D. Mitchener

Methods Funct. Anal. Topology 24 (2018), no. 1, 71-81

In this article we introduce the concept of an $LK^\ast$-algebroid, which is defined axiomatically. The main example of an $LK^\ast$-algebroid is the category of all subspaces of a Hilbert space and closed (not necessarily bounded) linear operators. We prove that for any $LK^\ast$-algebroid there is a faithful functor that respects its structure and maps it into this main example.