Empirical evidence for both stellar mass black holes (M • < 10 2 M ⊙ ) and supermassive black holes (SMBHs,is well established. Moreover, every galaxy with a bulge appears to host a SMBH, whose mass is correlated with the bulge mass, and even more strongly with the central stellar velocity dispersion σ c , the M • − σ relation. On the other hand, evidence for "intermediate-mass" black holes (IMBHs, with masses in the range 100-10 5 M ⊙ ) is relatively sparse, with only a few mass measurements reported in globular clusters (GCs), dwarf galaxies and low-mass AGNs. We explore the question of whether globular clusters extend the M • − σ relationship for galaxies to lower black hole masses and find that available data for globular clusters are consistent with the extrapolation of this relationship. We use this extrapolated M • − σ relationship to predict the putative black hole masses of those globular clusters where existence of central IMBH was proposed. We discuss how globular clusters can be used as a constraint on theories making specific predictions for the low-mass end of the M • − σ relation.