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math.FA2000
Lomonosov's Invariant Subspace Theorem for Multivalued Linear Operators
Peter Saveliev
The famous Lomonosov's invariant subspace theorem states that if a continuous linear operator T on an infinite-dimensional normed space E "commutes" with a compact nonzero operator…
math.FA1999
Fixed points and selections of multifunctions on spaces with convexity
Peter Saveliev
We provide theorems containnig both Kakutani and Browder fixed points theorems as immediate corollaries, as well as Michael and Browder selection theorems. For this purpose we intr…