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• W2006546991 abstract "For a bounded operator T on a Banach space X, we defineβ(m,p)(T,x):=∑k=0m(−1)m−k(mk)‖Tkx‖pfor all x∈X. We prove β(m,p)(T,x)≤0 for all x∈X implies β(m−1,p)(T,x)≥0 for all x∈X. This result allows us to extend several results for (m,p)-isometries (β(m,p)(T,x)=0) to operators only satisfying β(m,p)(T,x)≤0. A Berger–Shaw type result is also proved for a class of m-expansive operators on a Hilbert space. Several classes of operators are introduced and studied by using β(m,p)(T,x) in parallel with corresponding classes of operators on Hilbert space. In particular a class of p-subnormal operators on a Banach space is introduced and such operators are proved to be paranormal." @default.
• W2006546991 created "2016-06-24" @default.
• W2006546991 creator A5022609167 @default.
• W2006546991 date "2015-06-01" @default.
• W2006546991 modified "2023-10-03" @default.
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• W2006546991 doi "https://doi.org/10.1016/j.jmaa.2015.01.067" @default.
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