On isomorphisms of spaces of functional R-shifts for right invertible operators

• Autorzy: Zbigniew Binderman

Abstrakty

EN

 Abstract. This paper provides isomorphisms of a space of analytic functions onto spaces of functional R-shifts introduced by the author in [13]. The space contains all functions analytic in a ring {h ∈ ℂ : 0 < |h| < ρ}, 0 < ρ ≤ +∞, do not having an essential singularity at the origin. The results obtained include and extend some of those in the author's works [5], [7].

Słowa kluczowe

EN

right invertible operators; functional R-shifts; functional shifts; isomorphisms of analytic functions

Kategorie tematyczne

• 47G99: None of the above, but in this section
• 47B99: None of the above, but in this section
• 47E05: Ordinary differential operators (should also be assigned at least one other classification number in section 47)

Twórcy

autor

Zbigniew Binderman

• Academy of Agriculture, Nowoursynowska 166, 02-766 Warszawa, Poland

• Książka: Different aspects of differentiability

Bibliografia

[1] Z. Binderman, Complex R-shifts for right invertible operators, Demonstratio Math. 23 (1990), 1043-1053.
[2] Z. Binderman, On some properties of complex R-shifts, ibid. 25 (1992), 207-217.
[3] Z. Binderman, Some properties of operators of complex differentation and shifts, Scientific Bulletin of Łódź Technical University, Matematyka, 24 (1993), 5-18.
[4] Z. Binderman, Cauchy integral formula induced by right invertible operators, Demonstratio Math. 25 (1992), 671-690.
[5] Z. Binderman, Functional shifts induced by right invertible operators, Math. Nachr. 157 (1992), 211-224.
[6] Z. Binderman, On periodic solutions of equations with right invertible operators induced by functional shifts, Demonstratio Math. 26 (1993), 535-543.
[7] Z. Binderman, A unified approach to shifts induced by right invertible operators, Math. Nachr. 161 (1993), 239-252.
[8] Z. Binderman, On summation formulas induced by functional shifts of right invertible operators, Demonstratio Math. 28 (1995), to appear.
[9] Z. Binderman, Periodic solutions of equations of higher order with a right invertible operator induced by functional shifts, Ann. Univ. M. Curie-Skłodowska 46 (1992), 9-22.
[10] Z. Binderman, On some functional shifts induced by operators of complex differentation, Opuscula Math. 14 (1994), 53-65.
[11] Z. Binderman, Some remarks on sequential shifts induced by right invertible operators, Funct. Approx. 22 (1993), 71-84.
[12] Z. Binderman, Applications of sequential shifts to an interpolation problem, Collect. Math. 44 (1993), 47-57.
[13] Z. Binderman, Some fundamental properties of functional R-shifts for right invertible operators, Comment. Math. 33 (1994), 9-22.
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• Kolekcja: DML-PL