• A Remark on Invariant Subspaces of Index One in pt(μ)-Spaces

K. Hedayatian*

Abstract


In this paper, isometric equivalence of the multiplication operator Mz restricted to the invariant subspaces of index 1 in pt (µ) are investigated. Also, the reducing subspaces of the operators Mzi, i ≥ 1 on p2 (µ) are discussed.

Keywords


Isometric equivalence of subspaces, pt(µ), index 1, reducing subspaces. This research was in part supported by a grant from Shiraz University Research Council.

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