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Titlebook: Analysis and Quantum Groups; Lars Tuset Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer

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Rudi Stouffs,José N. Beirão,José P. Duarteperators should act on some Hilbert spaces, so that one can talk about self-adjointness which is needed to give expectation values that are real numbers; such values are supposed to be the outcome of a measurement.
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This chapter deals with what could be called geometric functional analysis. Results from plane geometry are generalized to infinite dimensional vector spaces, including function spaces, yielding powerful, general results with a wide range of applications from within optimization theory to physics.
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Salvatore Iaconesi,Oriana PersicoTensor products is the study of multilinear maps by linear maps, meaning that the multilinear maps from a space factor uniquely through a linear map defined on another vector space called the tensor product of the vector spaces occurring as direct products in the domain of the multilinear maps.
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