… In this paper we prove some results concerning such operators and thereby obtain
generalizations of some well known polynomial inequalities. … In this paper we prove some …

… In this paper we establish a number of inequalities which are analogous to, and may be
considered as, … We now wish to make a few remarks concerning the inequality (1.2): …

… above inequality. Moreover our result improves many prior results involving \(B_{n}\)
operators and a number of polynomial inequalities can also be deduced by a uniform procedure. …

… by obtain compact generalizations of many polynomial inequalities as well. In fact, we prove:
… An inequality proved by Ankeny and Rivlin [1] is a special case of this inequality when we …

… sharp L p -inequalities for B n -operators which not only provide a correct proof of the above
inequality and other related results but also extend these inequalities for 0 ≤ p < 1 as well. …

… There is still much research concerning concrete operators … problem, for A and B operators
acting in an infinite dimensional … in the Spversion of von Neumann's inequality. Let JC = £2(H) …

… In this paper, we show that this inequality holds analogously for the norm ·q with q ⩾ 1 and …
more general result concerning self inversive polynomials, which includes inequality (18) as a …

… The application of the theorems in this section is much simplified by the following theorems
concerning Banach spaces which do not contain isomorphic copies of certain sequence …

… this paper we prove some results concerning the integral estimates of such operators and,
thereby, obtain generalizations, as well as improvements, of some well known Lp inequalities. …

… Now we prove inequality (6). If at least one of the parameters a1,...,ak is exceptional for F
then (as it was noted at the beginning of the section) F(z) = C(1 + az)n, C ∈ C. From …