Abstract:
The ideas of the Fredholm pairs of single valued operators is extended into the category of multi-valued linear operators. The concept of the Fredholm pairs of multi-valued linear operators is introduced and four subspace sequences (RS,n)n∈N、(RT,n)n∈N、(R,n)n∈N+ and (R,n)n∈N+ are defined,respectively.It is proved that (RS,n)n∈N and (RT,n)n∈N are decrease with y,x,and RS,n and RT,n are finite dimensional whenever S(0) and T(0) are finite dimensional and n≥2.Moreover,decompositions R,n=n+n2 and R,n=n+n2 are established.
