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Semi-cubically hyponormal weighted shifts with recursive type
Author(s) -
Chunji Li,
Ryeong Lee,
SeungHwan Baek
Publication year - 2013
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1306043l
Subject(s) - quadratic growth , mathematics , quadratic equation , type (biology) , pure mathematics , weighted arithmetic mean , mathematical analysis , statistics , geometry , ecology , biology
In this paper, we discuss the semi-cubic hyponormality of recursively generated weighted shifts with weight α(x): √x, (√a, √b, √c)^ to give a new bridge between cubically hyponormal and quadratically hyponormal weighted shifts. Using weight sequences with first two equal weights, we show that two notions of quadratic hyponormality and semi-cubic hyponormality are different one from another. Moreover, we characterize the semi-cubic hyponormality of weighted shifts.

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