an:01537453
Zbl 0955.46023
Skorokhod, D. A.
Linear transformations of orthogonal vector measures. Nondegenerated complete measures
EN
Theory Probab. Math. Stat. 59, 153-159 (1999); translation from Teor. Jmovirn. Mat. Stat. 59, 148-155 (1998).
00072053
1998
j
46G10 28B05 47B07
orthogonal vector measures; nondegenerated complete measures; Hilbert space
This work is devoted to some special problems of the theory of vector measures with values in a Hilbert space. Necessary and sufficient conditions are proposed in the paper under which the vector measure \(\mu\) has the representation \(\mu=a(\nu),\) where \(a\) is a bounded linear operator and \(\nu\) is an orthogonal vector measure.
A.V.Swishchuk (Ky??v)