Reproducing kernels, Engliš algebras and some applications

Mubariz T. Karaev, Mehmet Gürdal, and Mualla Birgül Huban. "Reproducing kernels, Engliš algebras and some applications." Studia Mathematica 232.2 (2016): 113-141. <http://eudml.org/doc/285759>.

@article{MubarizT2016,
abstract = {We introduce the notion of Engliš algebras, defined in terms of reproducing kernels and Berezin symbols. Such algebras were apparently first investigated by Engliš (1995). Here we give some new results on Engliš C*-algebras on abstract reproducing kernel Hilbert spaces and some applications to various questions of operator theory. In particular, we give applications to Riccati operator equations, zero Toeplitz products, and the existence of invariant subspaces for some operators.},
author = {Mubariz T. Karaev, Mehmet Gürdal, Mualla Birgül Huban},
journal = {Studia Mathematica},
keywords = {reproducing kernel; Berezin symbol; Riccati equation; invariant subspace; Toeplitz operator; Hardy space},
language = {eng},
number = {2},
pages = {113-141},
title = {Reproducing kernels, Engliš algebras and some applications},
url = {http://eudml.org/doc/285759},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Mubariz T. Karaev
AU - Mehmet Gürdal
AU - Mualla Birgül Huban
TI - Reproducing kernels, Engliš algebras and some applications
JO - Studia Mathematica
PY - 2016
VL - 232
IS - 2
SP - 113
EP - 141
AB - We introduce the notion of Engliš algebras, defined in terms of reproducing kernels and Berezin symbols. Such algebras were apparently first investigated by Engliš (1995). Here we give some new results on Engliš C*-algebras on abstract reproducing kernel Hilbert spaces and some applications to various questions of operator theory. In particular, we give applications to Riccati operator equations, zero Toeplitz products, and the existence of invariant subspaces for some operators.
LA - eng
KW - reproducing kernel; Berezin symbol; Riccati equation; invariant subspace; Toeplitz operator; Hardy space
UR - http://eudml.org/doc/285759
ER -