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- W2330915512 abstract "This work contains a constructive example of a class of Jacobi operators with an arbitrary finite number of gaps in its unbounded essential spectrum. The construction of this class is based on elementary ideas of gluing finite-dimensional Jacobi matrices whose sizes grow to infinity. The precise analysis of the finite-dimensional pieces leads to a new “finite essential spectrum” besides the natural essential spectrum of two explicit infinite Jacobi matrices, determined by the above finite dimensional ones. This new finite essential spectrum is calculated explicitly. A connection to the ideas of the recent paper [12] is also given. Mathematics subject classification (2010): Primary 47B36; Secondary 47A10, 47B25." @default.
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- W2330915512 date "2012-01-01" @default.
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- W2330915512 title "Elementary models of unbounded Jacobi matrices with a few bounded gaps in the essential spectrum" @default.
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- W2330915512 doi "https://doi.org/10.7153/oam-06-37" @default.
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