On a Characterization of Frames for Operators in Quaternionic Hilbert Spaces
DOI:
https://doi.org/10.15407/mag18.02.194Анотація
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
Ключові слова:
фрейми, атомарнi системи, K-фрейми, кватернiонний гiльбертiв простiрПосилання
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