Some properties of near continuous g-frames in Hilbert C*-modules
کد مقاله : 1045-SHAA
یاسر خطیب *1، محمدکاظم انوری2
1دانشگاه فرهنگیان-آموزش وپرورش بجنورد
2دانشگاه فردوسی مشهد
چکیده مقاله:
Let $mathcal{U}$ be a Hilbert $mathcal{A}$-module and $L(mathcal{U})$ the set of all adjointable $mathcal{A}$-linear maps on $mathcal{U}$.
Let $ K={Lambda_xin L(mathcal{U},mathcal{V}_x):x inmathscr{X}}$ and $L={Gamma_x in L(mathcal{U},mathcal{V}_x):x inmathscr{X}}$ be two continuous $g$-frames for $mathcal{U}$, $K$ is said to be similar with $L$ if there exists an invertible operator
$Jin L(mathcal{U})$ such that $Gamma_x =Lambda_x J$, for all $xin mathscr{X}$.
In this paper, we define the concepts of closeness and nearness between two continuous $g$-frames. In particular, we show that $K$ and $L$ are near,
if and only if they are similar.
کلیدواژه ها:
closeness bound, Hilbert C*-modules, near continuous g-frames, nearness
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