Continuous frames for unbounded operators
Keyword(s):
AbstractFew years ago Găvruţa gave the notions of K-frame and atomic system for a linear bounded operator K in a Hilbert space $$\mathcal {H}$$ H in order to decompose $$\mathcal {R}(K)$$ 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.
1984 ◽
Vol 27
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pp. 229-233
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1976 ◽
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pp. 135-143
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2009 ◽
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pp. 1-11
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1960 ◽
Vol 10
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2014 ◽
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