Few years ago Găvruţa gave the notions of K-frame and atomic system for a linear bounded operator K in a Hilbert space H in order to decompose R(K), the range of K, with a frame-like expansion. These notions are here generalized to the case of a densely defined and possibly unbounded operator A on a Hilbert space in a continuous setting, thus extending what have been done in a previous paper in a discrete framework.
Bellomonte, G. (2021). Continuous frames for unbounded operators. ADVANCES IN OPERATOR THEORY, 6(2), 1-28 [10.1007/s43036-021-00136-3].
Continuous frames for unbounded operators
Bellomonte, Giorgia
2021-01-01
Abstract
Few years ago Găvruţa gave the notions of K-frame and atomic system for a linear bounded operator K in a Hilbert space H in order to decompose R(K), the range of K, with a frame-like expansion. These notions are here generalized to the case of a densely defined and possibly unbounded operator A on a Hilbert space in a continuous setting, thus extending what have been done in a previous paper in a discrete framework.File in questo prodotto:
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