Invariant Weakly Positive Semidefinite Kernels with Values in Topologically Ordered -Spaces
S Ay, A Gheondea - arXiv preprint arXiv:1701.04740, 2017 - arxiv.org
We consider weakly positive semidefinite kernels valued in ordered $* $-spaces with or
without certain topological properties, and investigate their linearisations (Kolmogorov …
without certain topological properties, and investigate their linearisations (Kolmogorov …
Automatic Boundedness of Adjointable Operators on Barreled VH-Spaces
S Ay - Complex Analysis and Operator Theory, 2022 - Springer
We consider the space of adjointable operators on barreled VH (Vector Hilbert) spaces and
show that such operators are automatically bounded. This generalizes the well known …
show that such operators are automatically bounded. This generalizes the well known …
Dilations of doubly invariant kernels valued in topologically ordered*-spaces
S Ay - 2018 - search.proquest.com
An ordered*-space Z is a complex vector space with a conjugate linear involution*, and a
strict cone Z+ consisting of self adjoint elements. A topologically ordered*-space is an …
strict cone Z+ consisting of self adjoint elements. A topologically ordered*-space is an …
[引用][C] Corrections to “On some dilation theorems for positive definite operator valued functions”(Studia Math. 228 (2015), 109–122)
In the Cauchy–Schwarz type inequality stated in [2, p. 112] the constant should be changed
from 2 to 4—see [1, Lemma 2.2]. More precisely, let H be a pre-Loynes Z-space, where Z is …
from 2 to 4—see [1, Lemma 2.2]. More precisely, let H be a pre-Loynes Z-space, where Z is …