BEGIN:VCALENDAR VERSION:2.0 PRODID:-//hacksw/handcal//NONSGML v1.0//EN CALSCALE:GREGORIAN BEGIN:VEVENT LOCATION:Online / Moscow\, st. Ordzhonikidze 3\, room. 458 DESCRIPTION:The first our aim is to clarify the results obtained by Lidskii V.B. devoted to the decomposition on the root vector system of a non-selfadjoint compact operator. We use a technique of the entire function theory and introduce a so-called Schatten-von Neumann class of the convergence exponent. Considering strictly accretive operators satisfying special conditions formulated in terms of the norm\, we construct a sequence of contours of the power type on the contrary to the results by Lidskii V.B.\, where a sequence of contours of the exponential type was used. This approach allows us to obtain a decomposition on the root vector series of the non-selfadjoint operators with the s-number asymptotics more subtle than one of the power type. DTSTART:20230905T120000Z DTEND:20230905T140000Z SUMMARY:Scientific seminar “Decomposition on the root vector series of the non-selfadjoint operators with the s-number asymptotics more subtle than one of the power type” URL;VALUE=URI:/media/events/scientific-seminar-decomposition-on-the-root-vector-series-of-the-non-selfadjoint-operators-with-the-s-number-asymptotics-more-subtle-than-one-of-the-power-type/ DTSTAMP:20250428T200031Z UID:680fb42f88fd4 END:VEVENT END:VCALENDAR