Compact solutions to the equation Tx = y in a weakly closed % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWefv3ySLgznf % gDOfdaryqr1ngBPrginfgDObYtUvgaiuaacqWFtepvcaGGOaGae8xd % X7Kaaiykaaaa!447E! $$ \mathcal{T}(\mathcal{N}) $$ -module
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES（2007）
摘要
Given two vectors x, y in a Hilbert space and a weakly closed T(N)-module U, we provide a necessary and sufficient condition for the existence of a compact operator T in U satisfying T x = y.
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关键词
compact interpolation,weakly closed T (N)-modules
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