Fredholm operator

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:definedIn gptkb:Hilbert_space
gptkbp:field functional analysis
gptkbp:generalizes invertible operator
https://www.w3.org/2000/01/rdf-schema#label Fredholm operator
gptkbp:introducedIn early 20th century
gptkbp:namedAfter gptkb:Ivar_Fredholm
gptkbp:property bounded linear operator
closed range
finite-dimensional cokernel
finite-dimensional kernel
gptkbp:relatedIndex dimension of kernel minus dimension of cokernel
gptkbp:relatedTo compact operator
gptkbp:usedIn partial differential equations
integral equations
spectral theory
gptkbp:bfsParent gptkb:Atiyah–Singer_index_theorem
gptkb:C*-algebra
gptkbp:bfsLayer 5