## On a system of operator equations.(English)Zbl 0211.17701

### MSC:

 47A62 Equations involving linear operators, with operator unknowns 46B45 Banach sequence spaces 46C15 Characterizations of Hilbert spaces 47A50 Equations and inequalities involving linear operators, with vector unknowns
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### References:

 [1] Kurzweil, J.: On solutions of nonautonomous linear delayed differential equations which are defined and exponentially bounded for t $$\to$$-\infty. C\check{}asopis. pe\check{}st. Mat. 96, 229-238 (1971) · Zbl 0218.34065 [2] Abraham, R.; Marsden, J.: Foundations of mechanics. (1967) [3] Cohn, J.H.E.: Hadamard matrices and some generalizations. Amer. math. Monthly 72, 515-518 (1965) · Zbl 0134.25202 [4] Hall; Jr., M.: Combinatorial theory. (1967) · Zbl 0196.02401 [5] Barba, G.: Intorno al teorema di Hadamard sui determinanti a valore massimo. Giorn. mat. Battaglini 71, 70-86 (1933) · Zbl 0007.39102 [6] Wojtas, M.: On Hadamard’s inequality for the determinants of order non-divisible by 4. Colloq. math. 12, 73-83 (1964) · Zbl 0126.02604 [7] Clements, G.F.; Lindstro\"{}m, B.: A sequence of ({$$\pm$$}1) determinants with large values. Proc. amer. Math. soc. 16, 548-550 (1965) · Zbl 0138.01101 [8] J. Kurzweil, On the maximum value of a class of determinants,Mat.C\check{}asopis Sloven. Akad. Vied, to appear. [9] J. Kurzweil, Multiplicative nonnegative functionals on the set of linear maps ofm-dimensional normed linear spaces,Czechoslovak Math. J., to appear. [10] Kurzweil, J.: Solutions of linear nonautonomous functional differential equations which are exponentially bounded for t $$\to$$-\infty. J. differential equations 11, 376-384 (1972) · Zbl 0211.17702
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