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The Weighted Shift Operators in Spaces of Vector Functions

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Abstract

In spaces of vector functions, on an arbitrary set \(X\), a weighted shift operator has the same form as in the scalar case:

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References

  1. Antonevich, A. B. (1988). Linear functional equations. Operator approach (English transl. Birkhauser, Basel, Boston, Berlin, 1996). Minsk: Universitetskoe (in Russian).

    Google Scholar 

  2. Antonevich, A., & Lebedev, A. (1994). Functional differential equations: I. \(C^*\)-theory. Harlow: Longman Scientific & Technical.

    Google Scholar 

  3. Chicone, C., & Latushkin, Yu. (1999). Evolution semigroups in dynamical systems and differential equations. Providence, RI: AMS.

    Google Scholar 

  4. Antonevich, A., & Lebedev, A. (1998). Functional and functional-differential equations. \( A C^*-\)algebraic approach (English transl. in Amer. Math. Soc. Transl. Ser. 2. 1999, pp. 25–116). Trudy Sankt-Peterburgskogo Matematicheskogo Obshchestva, 6, pp. 34–140.

    Google Scholar 

  5. Latushkin, Y. D., & Stepin, A. M. (1991). Weighted translation operators and linear extensions of dynamical systems (English transl. in Russian Math. Surveys, V. 46, no. 2, pp. 93–165). Uspekhi matematicheskikh nauk, 46(2), 85–143.

    Google Scholar 

  6. Antonevich, A. B. (2005). Coherent local hyperbolicity of a linear extension and essential spectra of a weighted shift operator on a closed interval. Functional Analysis and Its Applications, 39(1), 9–20.

    Google Scholar 

  7. Antonevich, A. B. (1978). A factorization of difference operator. Vesti Akad. Navuk BSSR, Ser. Fiz.-Mat. Navuk, 3, 10–15.

    Google Scholar 

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Authors and Affiliations

  1. State University of Novi Pazar, Novi Pazar, Serbia

    Ćemal B. Dolićanin

  2. Belarusian State University, Minsk, Belarus

    Anatolij B. Antonevich

Authors
  1. Ćemal B. Dolićanin
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  2. Anatolij B. Antonevich
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Correspondence to Ćemal B. Dolićanin .

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© 2014 Springer International Publishing Switzerland

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Dolićanin, Ć.B., Antonevich, A.B. (2014). The Weighted Shift Operators in Spaces of Vector Functions. In: Dynamical Systems Generated by Linear Maps. Springer, Cham. https://doi.org/10.1007/978-3-319-08228-8_15

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