Quasi-isometric dilations of operator-valued measures and Grothendieck’s inequality
Quasi-isometric dilations of operator-valued measures and Grothendieck’s inequality
Let M(') be a strongly countably-additive (s.c.a.) (continuous linear) operator-valued measure on an arbitrary (j-algebra & of subsets of an arbitrary set Ω from a Hubert space W to a Hubert space 3ίf.Is there a Hubert space JΓ~=> J^and a s.c.a.quasi-isometric measure M(-) (cf.Masani, BAMS 76 (1970), 427-528) on & …