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A note on the polar spectral resolution of a bounded linear operator. (Chinese. English summary) Zbl 0587.47042

The concept of the polar spectral resolution of a bounded linear operator on a Hilbert space is introduced by Ma Jipu [J. Nanjing Univ., Nat. Sci. Ed. 1980, Special Issue, 7-16 and 17-21 (1980; Zbl 0453.47005 and Zbl 0453.47006)]. The present paper contains few remarks concerning the polar spectral resolution, a ring of ”commutative” operators is also considered.

MSC:

47B40 Spectral operators, decomposable operators, well-bounded operators, etc.
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces