Browder spectra of upper triangular matrix linear relations

Yosra Chamkha, Maher Mnif · Publicationes Mathematicae Debrecen · 2013

In this paper, we define a matrix linear relation and present some properties of this one.When A ∈ BCR(H) and B ∈ BCR(K) are given, we denote by M C the matrix linear relation acting on the infinite dimensional separable Hilbert spaceand only if A is upper semi Fredholm relation with finite ascent, B is lower semi Fredholm relation with finite descent and n(A) + n(B) = d(A) + d(B).

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