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This gives a negative answer to Oja's conjecture.
Then, as main application of these estimates, we obtain a sharp Lp-norm estimate for the Bergman projection, which refines a result of K. Zhu as well as gives a negative answer to a question raised by M. Dostanić.
2. It gives a negative answer to the open question on the existence of extremal of Perelmanʼs W entropy in the noncompact case, which was stipulated by Perelman (2002) [22, p. 9, 3.2 Remark].
Example 2.1 below gives a negative answer.
Though the above example gives a negative answer to Kirk's problem, some positive partial answers may also be found.
For a Norlund sequence space E, the ideal of the finite rang operators in the class of Banach spaces is dense in (U_{E}^{mathrm {app}} X, Y)), which gives a negative answer to Rhoades [20] open problem about the linearity of E-type spaces ((U_{E}^{mathrm {app}} X, Y))).
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Those who gave a negative answer in questioning that lasted a few minutes were put to death.
Then after an exhaustive analysis we show that no RCC model can be interpreted extensionally anyway and hence give a negative answer to a conjecture raised by Bennett.
Because we give a negative answer to the first question, see infra, at - ----, we need not address the second and third.
In this paper, with the help of a computer, those polynomials are proved to be differentially 4-uniform but may not be permutation polynomials, which give a negative answer to this problem.
We give a negative answer to the three-space problem for the Banach space properties to be complemented in a dual space and to be isomorphic to a dual space (solving a problem of Vogt [Lectures held in the Functional Analysis Seminar, Dusseldorf/Wuppertal, Jan Feb. 1987] and another posed by Dı́az et al. in [Bull. Polish Acad. Sci. Math.40 (1992), 221 224]).
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