On a Characterization of Frames for Operators in Quaternionic Hilbert Spaces

Автор(и)

  • Salma Charfi National School of Electronics and Telecommunications of Sfax, BP 1163, CP 3018 Sfax, Tunisia
  • Hanen Ellouz Faculty of Sciences of Sfax, Department of Mathematics, BP 1171, Sfax 3000 Tunisia

DOI:

https://doi.org/10.15407/mag18.02.194

Ключові слова:

фрейми, атомарнi системи, K-фрейми, кватернiонний гiльбертiв простiр

Анотація

У цiй роботi ми вводимо поняття атомарних систем для операторiв i K-фреймiв у сепарабельних кватернiонних гiльбертових просторах. Цi поняття призводять до узагальнення фреймiв, якi було нещодавно вивчено в [18], i дозволяють нам реконструювати елементи з образа лiнiйного i обмеженого оператора в кватернiонному гiльбертовому просторi.

Mathematical Subject Classification 2010: 42C15, 41A58

Посилання

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Charfi, S.; Ellouz, H. On a Characterization of Frames for Operators in Quaternionic Hilbert Spaces. Журн. мат. фіз. анал. геом. 2022, 18, 194-208.

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