multipliers of continuous $g$-frames in hilbert spaces

Authors

m. r. abdollahpour

department of mathematics‎, ‎faculty of sciences‎, ‎university of mohaghegh ardabili‎, ‎ardabil 56199-11367‎, ‎iran. y. alizadeh

department of mathematics‎, ‎faculty of sciences‎, ‎university of mohaghegh ardabili‎, ‎ardabil 56199-11367‎, ‎iran.

abstract

in this paper we introduce continuous $g$-bessel multipliers in hilbert spaces and investigate some of their properties. we provide some conditions under which a continuous $g$-bessel multiplier is a compact operator. also, we show the continuous dependency of continuous $g$-bessel multipliers on their parameters.

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Journal title:

bulletin of the iranian mathematical society

جلد ۴۳، شماره ۲، صفحات ۲۹۱-۳۰۵

Keywords

$g$ frames continuous frames continuous $g$ frames multiplier of frames multiplier of continuous $g$ frames

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