Positive isometric averaging operators on l2(Z,µ)
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© 2016 Springer International Publishing We show that positive isometric averaging operators on the sequence space (Formula presented.) are determined by very subtle arithmetic conditions on (Formula presented.) (even for very simple examples), contrary to what happens in the continuous case (Formula presented.), where any possible average value is realized by a suitable positive isometry.
CitationBoza, S., Soria, J. Positive isometric averaging operators on l2(Z,µ). "Integral equations and operator theory", 5 Març 2016, p. 1-14.