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Frame theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert  C ∗ -modules. In this paper, we define and study the new concept of controlled continuous  ∗ - K - g -frames for Hilbert  C ∗ -modules and we establish some properties.

abstract and applied analysis

Controlled Continuous<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"><mo>∗</mo></math>-<math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"><mi>K</mi></math>-<math xmlns="http://www.w3.org/1998/Math/MathML" id="M3"><mi>g</mi></math>-Frames for Hilbert<math xmlns="http://www.w3.org/1998/Math/MathML" id="M4"><msup><mrow><mi>C</mi></mrow><mrow><mo>∗</mo></mrow></msup></math>-Modules

Controlled Continuous∗-K-g-Frames for HilbertC∗-Modules

Controlled Continuous $$ - $K$ - $g$ -Frames for Hilbert $C^{}$ -Modules