Geodesic
Invertible linear relations generated by integral equations with operator measures
Filomat, Tome 35 (2021) no. 5, p. 1589

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DOI

We define a minimal relation L 0 generated by an integral equation with operators measures and give a description of the relations L 0 − λE, L * 0 − λE, where L * 0 is adjoint for L 0 , λ ∈ C. The obtained results are applied to a description of relations T(λ) such that L 0 − λE ⊂ T(λ) ⊂ L * 0 − λE and T −1 (λ) are bounded everywhere defined operators.
DOI : 10.2298/FIL2105589B
Classification : 41A10, 46G12, 45N05
Keywords: Hilbert space, integral equation, operator measure, linear relation, symmetric relation, invertible relation 
Vladislav M Bruk. Invertible linear relations generated by integral equations with operator measures. Filomat, Tome 35 (2021) no. 5, p. 1589 . doi: 10.2298/FIL2105589B
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     author = {Vladislav M Bruk},
     title = {Invertible linear relations generated by integral equations with operator measures},
     journal = {Filomat},
     pages = {1589 },
     year = {2021},
     volume = {35},
     number = {5},
     doi = {10.2298/FIL2105589B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2105589B/}
}
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