Elliptic differential operators and positive semigroups associated with generalized Kantorovich operators
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DOI: 10.1016/j.jmaa.2017.08.034
Abstract: Abstract Deepening the study of a new approximation sequence of positive linear operators we introduced and studied in [12] , in this paper we disclose its relationship with the Markov semigroup (pre)generation problem for a… read more here.
Keywords: operators positive; semigroups associated; positive semigroups; elliptic differential ... See more keywords
Operators on positive semidefinite inner product spaces
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DOI: 10.1016/j.laa.2020.03.004
Abstract: Abstract Let U be a semiunitary space; i.e., a complex vector space with scalar product given by a positive semidefinite Hermitian form 〈 ⋅ , ⋅ 〉 . If a linear operator A : U… read more here.
Keywords: operators positive; product; inner product; semidefinite inner ... See more keywords
On tuples of commuting operators in positive semidefinite inner product spaces
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DOI: 10.1016/j.laa.2020.06.015
Abstract: Abstract This paper is concerned with the study of certain properties of operator tuples on a complex Hilbert space H when a semi-inner product induced by a positive operator A on H is considered. In… read more here.
Keywords: operators positive; inner product; tuples commuting; commuting operators ... See more keywords