A Simple Proof of Bohr's Inequality by Paulsen V.I., Singh D.

By Paulsen V.I., Singh D.

The classical inequality of Bohr referring to Taylor coeficients of bounded holomorphic features at the unit disk, has proved to be of importance in answering within the unfavorable 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 straightforward facts of the inequality.

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64. F. Waldhausen, ‘Algebraic K -theory of generalized free products. I, II’, Ann. Math. Stud. (2) 108 (Princeton University Press, Princeton, NJ, 1978) 135–204. 65. F. Waldhausen, ‘Algebraic K -theory of topological spaces. I’, Algebraic and geometric topology, Proc. Sympos. , 1976, Part 1 (American Mathematical Society, Providence, RI, 1978) 35–60. 66. C. A. Weibel, ‘Mayer–Vietoris sequences and module structures on N K ∗ ’, Algebraic K -theory, Evanston 1980 (Proc. , Evanston, IL, 1980), Lecture Notes in Mathematics 854 (Springer, Berlin, 1981) 466–493.

2) 71 (Princeton University Press, Princeton, NJ, 1960) 552–578. 64. F. Waldhausen, ‘Algebraic K -theory of generalized free products. I, II’, Ann. Math. Stud. (2) 108 (Princeton University Press, Princeton, NJ, 1978) 135–204. 65. F. Waldhausen, ‘Algebraic K -theory of topological spaces. I’, Algebraic and geometric topology, Proc. Sympos. , 1976, Part 1 (American Mathematical Society, Providence, RI, 1978) 35–60. 66. C. A. Weibel, ‘Mayer–Vietoris sequences and module structures on N K ∗ ’, Algebraic K -theory, Evanston 1980 (Proc.

Stud. (2) 108 (Princeton University Press, Princeton, NJ, 1978) 135–204. 65. F. Waldhausen, ‘Algebraic K -theory of topological spaces. I’, Algebraic and geometric topology, Proc. Sympos. , 1976, Part 1 (American Mathematical Society, Providence, RI, 1978) 35–60. 66. C. A. Weibel, ‘Mayer–Vietoris sequences and module structures on N K ∗ ’, Algebraic K -theory, Evanston 1980 (Proc. , Evanston, IL, 1980), Lecture Notes in Mathematics 854 (Springer, Berlin, 1981) 466–493. 67. C. A. Weibel, ‘Homotopy algebraic K -theory’, Algebraic K -theory and algebraic number theory, Honolulu, HI, 1987, Contemporary Mathematics 83 (American Mathematical Society, Providence, RI, 1989) 461–488.

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