scholarly journals A complement to Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals

1982 ◽  
Vol 58 (5) ◽  
pp. 193-195 ◽  
Author(s):  
Simeon Reich
Keyword(s):  
Product Formula ◽  
Nonlinear Semigroups ◽  
Convex Functionals

scholarly journals A new proof of the Lie–Trotter–Kato formula in Hadamard spaces

2014 ◽  
Vol 16 (06) ◽  
pp. 1350044 ◽  
Author(s):  
Miroslav Bačák
Keyword(s):  
Weak Convergence ◽  
Short Note ◽  
Product Formula ◽  
Curved Spaces ◽  
Convex Functionals ◽  
Positively Curved

The Lie–Trotter–Kato product formula has been recently extended into Hadamard spaces by Stojkovic [Approximation for convex functionals on non-positively curved spaces and the Trotter–Kato product formula, Adv. Calc. Var. 5 (2012) 77–216]. The aim of our short note is to give a simpler proof relying upon weak convergence instead of an ultrapower technique.

Complex group algebras of the direct product of non-isomorphic Suzuki groups

2019 ◽  
Vol 19 (02) ◽  
pp. 2050036
Author(s):  
Morteza Baniasad Azad ◽  
Behrooz Khosravi
Keyword(s):  
Direct Product ◽  
Group Algebra ◽  
Irreducible Character ◽  
Prime Numbers ◽  
Product Formula ◽  
Character Degrees ◽  
Group Algebras ◽  
Complex Group ◽  
Complex Group Algebra ◽  
Suzuki Groups

In this paper, we prove that the direct product [Formula: see text], where [Formula: see text] are distinct numbers, is uniquely determined by its complex group algebra. Particularly, we show that the direct product [Formula: see text], where [Formula: see text]’s are distinct odd prime numbers, is uniquely determined by its order and three irreducible character degrees.

scholarly journals A new product formula involving Bessel functions

2021 ◽  
pp. 1-17
Author(s):  
Mohamed Amine Boubatra ◽  
Selma Negzaoui ◽  
Mohamed Sifi
Keyword(s):  
Bessel Functions ◽  
New Product ◽  
Product Formula

scholarly journals Completely bounded bimodule maps and spectral synthesis

2017 ◽  
Vol 28 (10) ◽  
pp. 1750067 ◽  
Author(s):  
M. Alaghmandan ◽  
I. G. Todorov ◽  
L. Turowska
Keyword(s):  
Tensor Product ◽  
Compact Group ◽  
Closed Subset ◽  
Spectral Synthesis ◽  
Locally Compact Group ◽  
Product Formula ◽  
Fourier Algebra ◽  
Locally Compact ◽  
Multiplication Algebra

We initiate the study of the completely bounded multipliers of the Haagerup tensor product [Formula: see text] of two copies of the Fourier algebra [Formula: see text] of a locally compact group [Formula: see text]. If [Formula: see text] is a closed subset of [Formula: see text] we let [Formula: see text] and show that if [Formula: see text] is a set of spectral synthesis for [Formula: see text] then [Formula: see text] is a set of local spectral synthesis for [Formula: see text]. Conversely, we prove that if [Formula: see text] is a set of spectral synthesis for [Formula: see text] and [Formula: see text] is a Moore group then [Formula: see text] is a set of spectral synthesis for [Formula: see text]. Using the natural identification of the space of all completely bounded weak* continuous [Formula: see text]-bimodule maps with the dual of [Formula: see text], we show that, in the case [Formula: see text] is weakly amenable, such a map leaves the multiplication algebra of [Formula: see text] invariant if and only if its support is contained in the antidiagonal of [Formula: see text].

scholarly journals The Trotter-Kato product formula for Gibbs semigroups

1990 ◽  
Vol 131 (2) ◽  
pp. 333-346 ◽  
Author(s):  
Hagen Neidhardt ◽  
Valentin A. Zagrebnov
Keyword(s):  
Product Formula
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