Fredholm theory for demicompact linear relations
DOI:
https://doi.org/10.4995/agt.2022.16940Keywords:
demicompact linear relations, Fredholm theory, block matrixAbstract
We first attempt to determine conditions on a linear relation T such that μT becomes a demicompact linear relation for each μ ∈ [0,1)(see Theorems 2.4 and 2.5). Second, we display some results on Fredholm and upper semi-Fredholm linear relations involving a demicompact one(see Theorems 3.1 and 3.2). Finally, we provide some results in which a block matrix of linear relations becomes a demicompact block matrix of linear relations (see Theorems 4.2 and 4.3).
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