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We push further the study of lineability properties related to sets fromnorm-attaining theory. As a matter of fact, we provide several results in thecontext of lineability, spaceability, maximal-spaceability, and $(\alpha,\beta)$-spaceability for sets of non-norm-attaining bounded linear operatorswhenever such sets are non-empty. Our results concerning the cardinality of thelinear subspaces are presented in a more general framework, where classicalspaces of bounded linear operators between Banach spaces and their subsets areconsidered as special cases. This leads to new results and generalizes severalones from the literature.

Linear structures in the set of non-norm-attaining operators on Banach spaces