Dissipative Extensions of Linear Relations Generated by Integral Equations with Operator Measures
DOI:
https://doi.org/10.15407/mag16.04.381Ключові слова:
гільбертів простір, лінійне відношення, інтегральне рівняння, дисипативне розширення, самоспряжене розширення, граничне значення, операторна міраАнотація
У статті визначено мінімальне відношення L0, яке породжене інтегральним рівнянням з операторними мірами, i надано опис спряженого відношення L0*. Для цього мінімального відношення побудовано простір граничних значень (гранична трійка), що задовольняє абстрактну "формулу Грiна", і одержано опис максимального дисипативного (акумулятивного) відношення, а також самоспряжених розширень мінімального відношення.Mathematics Subject Classification: 47A10, 46G12, 45N05
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