By Paulsen V.I., Singh D.
The classical inequality of Bohr pertaining to Taylor coeficients of bounded holomorphic features at the unit disk, has proved to be of value in answering within the destructive the conjecture that if the non-unital von Neuman inequality held for a Banach algebra then it used to be inevitably an operator algebra. the following we offer a slightly brief and simple facts of the inequality.
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Synthesis, 1973, 487-488. , Angew. Chem. Int. Ed. , 18, 1979, 614. , Compt. , 128, 1899, 1460. , J. Org. , 23, 1958, 727-729. , US. Patent 2135709, 1938. , J. Am. Chem. , 61, 1939, 3355-3359. , J. Am. Chem. , 82, 1960, 2380. , Chem. , 113, 1980, 2086-2099. , 96, 1963, 308. , Ind. Chem. , 8(Roots of Organic Development), Elsevier, 1996, 325-335. , EP 300861 to Rhône-Poulenc Chimie, 1988. , 347, 1906, 347-386. , 30, 1897, 1622-1624. , J. Russ. Phys. Chem. , 33, 1901, 154. , 33, 1939, 6257. , Ind.
However, decreasing the hydrogen fluoride from 50 to 14 equivalents not only reduces the yield and selectivity towards the p-aldehyde, but a substantial increase in secondary product formation was observed. 14 eq) is evident from the drop in the p-aldehyde yield to 3%. This result confirmed the important facilitating role of the Lewis acid. 2 Run 4) Since near-supercritical water may act as an acid205, it offers an environmentally benevolent alternative for the replacement of undesirable solvents and catalysts and may potentially assist in the formylation of aromatic aldehydes using carbon monoxide.
Chem. 36, 1971, 202. S. Perkin II, 1974, 1635-1638. , J. Chem. , 1950, 767-777. , J. Am. Chem. , 105, 1983, 2018. 145 Divakar S. , Indian Journal of Chemistry, Section B-Organic Chemistry Including Medicinal Chemistry, 31, 543, 1992. , Journal of Molecular Catalysis A: Chemical, 130, 1998, L205L207. , Tokyo Kogyo Koto Senmon Gakko Kenkyu Hokokusho, 22, 1990, 95-97. , Guilin Gongxueyuan Xuebao, 21(4), 2001, 392-393. 149 Xinteng D. , Kexue Tongbao, 32, 860, 1987. 150 Yongita Y. , Hunan Shifan Daxue Ziran Kexue Xuebao, 12, 318, 1989.
A Simple Proof of Bohr's Inequality by Paulsen V.I., Singh D.