Weyl families of essentially unitary pairs

2018/12/18 by Jursenas, Rytis
#35P05 #47A56 #47B25 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 47A06 #Secondary 47B50

paper · doi:10.48550/arxiv.1812.07470

Abstract

It is known that the Weyl families corresponding to unitary boundary pairs (H,Γ) belong to the class R(H) of Nevanlinna families. Here we extend the theorem to the case of essentially unitary boundary pairs by showing that the closures of members of the Weyl families belong to the class R(H). Thus bounded Weyl functions of essentially unitary boundary pairs are of class R[H].

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