Abstract
The concept of μ-scale invariant operator with respect to an unitary transformation in a separable Hilbert space is extended to the case of linear relations (multi-valued linear operators). It is shown that if S is a nonnegative linear relation which is μ -scale invariant for some μ>0, then its adjoint S* and its extreme selfadjoint extensions SF and SN are also μ scale invariant.
Cuvinte cheie
Hilbert space
linear relation
nonnegative selfadjoint extension
unitary transformation
scale invariant relation