Kato inequality for operators with infinitely many separated variables

• Дата: 1999
• Автори: Samoilenko, V. G., Самойленко, В. Г.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1999
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4658
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We find conditions under which the Kato inequality is preserved in the case where, instead of an operator with finitely many variables, an operator with infinitely many separated variables is taken. We use the inequality obtained to study both self-adjointness of the perturbed operator with infinite...