Thisvolumeofthe Operator thought: Advances and functions sequence (OTAA) isthe ?rst quantity of a brand new subseries. This subseries is devoted to connections among the speculation of linear operators and the mathematical conception of linear structures and is called Linear Operators and Linear structures (LOLS).Asthe- isting subseries Advances in Partial Di?erential Equations (ADPE), the hot s- sequence will proceed the traditions of the OTAA sequence and continue the prime quality of the volumes. The editors of the recent subseries are: Daniel Alpay (Beer–Sheva, - rael), Joseph Ball (Blacksburg, Virginia, united states) and Andr´ ´ e Ran (Amsterdam, The Netherlands). within the final 25–30 years, Mathematical method concept constructed in an ess- tial manner. a wide a part of this improvement was once attached with using the kingdom area technique. allow us to point out for example the “theory of H control”. The nation ? area technique allowed to introduce in procedure thought the fashionable instruments of matrix and operator conception. nonetheless the country house method had an imp- tant effect on Algebra, research and Operator conception. particularly it allowed to resolve explicitly a few difficulties from interpolation conception, idea of convolution equations, inverse difficulties for canonical di?erential equations and their discrete analogs. some of these instructions are deliberate to be found in the subseries LOLS. The editors and the writer are inviting authors to post their manuscripts for book during this subseries.
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