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Unbounded operators on Hilbert C*-modules

Unbounded operators on Hilbert C*-modules

Let E and F be Hilbert C*-modules over a C*-algebra ๐’œ. New classes of (possibly unbounded) operators t : E โ†’ F are introduced and investigated. Instead of the density of the domain ๐’Ÿ(t) we only assume that t is essentially defined, that is, ๐’Ÿ(t) โŠฅ = {0}. Then t โ€ฆ