Titlebook: Elements of Hilbert Spaces and Operator Theory; Harkrishan Lal Vasudeva Book 2017 Springer Nature Singapore Pte Ltd. 2017 Linear operators

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Establish the Basics and Choose a Positiontrum, continuous spectrum, residual spectrum) in relation to normal, self-adjoint, unitaries and isometries have been discussed. Notion of numerical range and its connection with spectral radius have been explored. Spectral mapping theorems and spectral theorems for self-adjoint and normal operators

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Inner Product Spaces,ra of subsets of . and an extended nonnegative real-valued measure has been studied; so is the space . of holomorphic functions on a bounded domain . in .. These spaces are some of the important examples of Hilbert spaces. Included here are many applied topics such as Legendre, Hermite, Laguerre pol

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Artificial Intelligence and Sustainabilityy approach, focusing on the analysis of online news and interaction with two chatbots to question AI itself about its role in achieving sustainability. Implications are derived for researchers, policymakers and private economic actors that should acknowledge and consciously consider the potential conflicts between AI and SD.

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