@article{Bogdanskii_2015, title={Boundary Trace Operator in a Domain of Hilbert Space and the Characteristic Property of its Kernel}, volume={67}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2081}, abstractNote={We prove an infinite-dimensional analog of the classical theorem on density of the set $C_0^1 (G)$ of finite smooth functions in the kernel of the boundary trace operator $γ: H_1(G) → L_2(∂G)$.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Bogdanskii, Yu. V.}, year={2015}, month={Nov.}, pages={1450-1460} }