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For a Banach space, with a total sequence of mutually orthogonal projections, we present a criterium to verify that a family of multipliers is uniformly bounded. We assume that the… Click to show full abstract
For a Banach space, with a total sequence of mutually orthogonal projections, we present a criterium to verify that a family of multipliers is uniformly bounded. We assume that the Cesàro means are uniformly bounded. The results are applied to study generalized Riesz means as well as to obtain some Bernstein type inequalities.
Keywords:
families multipliers;
projections uniformly;
orthogonal projections;
bounded families;
uniformly bounded
Journal Title: Results in Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Results in Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!