The role of algebraic structure in the invariant subspace theory

Following a recent work of authors [1], we establish the algebraic analogs of three major decomposition theorems of Nagy-Foias-Langer, Halmos-Wallen and Fishel in Baer ⁎-rings. This approach not only provides purely algebraic and shorter proofs of these decomposition theorems, but also suggests the...

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Veröffentlicht in:	Linear algebra and its applications 2019-12, Vol.583, p.102-118
Hauptverfasser:	Bagheri-Bardi, G.A., Elyaspour, A., Esslamzadeh, G.H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Baer ⁎-ring Compression Contraction Decomposition Invariants Linear algebra Partial isometry Power partial isometry Rings (mathematics) Shift Theorems Truncated shift
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