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Finite presentability of strongly finite dilators

2000
*
RAIRO - Theoretical Informatics and Applications
*

*FINITE*

*PRESENTABILITY*

*OF*

*STRONGLY*

*FINITE*

*DILATORS*In this section, we first define "associated représentations"

*of*

*dilators*. ... In the following section, we establish

*finite*

*presentability*

*of*all

*strongly*

*finite*

*dilators*. ...

##
###
On finite-time stabilization of evolution equations: A homogeneous approach

2016
*
2016 IEEE 55th Conference on Decision and Control (CDC)
*

Generalized monotone

doi:10.1109/cdc.2016.7798740
dblp:conf/cdc/PolyakovCR16
fatcat:zlaoeb4zzbfmhjo2yxrhgko2r4
*dilation*in a Banach space is introduced. Classical theorems on existence and uniqueness*of*solutions*of*nonlinear evolution equations are revised. ... The design scheme is demonstrated for distributed*finite*-time control*of*heat and wave equations. ... This paper*presents*the first This attempts to design*finite*-time control based on generalized homogeneity*presented*in [14] . ...##
###
A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements

2007
*
Journal of Non-Newtonian Fluid Mechanics
*

Why

doi:10.1016/j.jnnfm.2007.06.008
fatcat:xhe4iwc6ybflpapt2k6fffgxtq
*dilation*-free? ... for saddle point problems are designed for*dilation*free methods. ... Conclusions A new adaptive unstructured semi-staggered*finite*volume method is*presented*for viscoelastic fluid flow calculations with exact mass conservation within each element. ...##
###
Page 1095 of Mathematical Reviews Vol. , Issue 2001B
[page]

2001
*
Mathematical Reviews
*

The

*present*note adds to these perspectives the point*of*view*of**dilation*theory*of*Hilbert space operators. ... “One*of*the main results*of*the paper is an equivalence between all*finite*rank, cyclic and commutative*dilations*N*of*the d- tuple z,_,;Mz,_; and a class*of*subspaces V C C[x]. ...##
###
Page 3799 of Mathematical Reviews Vol. , Issue 2002F
[page]

2002
*
Mathematical Reviews
*

In the

*present*short note, the author builds on these ideas by observing that the*strongly**finite**dilators*are exactly the*finitely**presentable*objects in the category*of**dilators*. ... {For the entire collection see MR 2000k:03007.} 2002f:03106 03F15 18B25 Takaki, Osamu*Finite**presentability**of**strongly**finite**dilators*. (English summary) Theor. Inform. ...##
###
Page 5470 of Mathematical Reviews Vol. , Issue 99h
[page]

1999
*
Mathematical Reviews
*

The

*present*paper deals with the geometric structure*of*the*dilation*space #. ... Assuming that at least one*of*the defect indices dr =rank(J — T*T) and dr- = rank(J — TT*)*of*the contraction T is*finite*, they show that*dilation*to a unilateral shift S; is possi- ble exactly when a ...##
###
Page 5369 of Mathematical Reviews Vol. , Issue 95i
[page]

1995
*
Mathematical Reviews
*

The author considers

*strongly*continuous semigroups {7 (t):t> 0}*of*L, contractions, | < p< oo. ... The other major results*of*this paper are multiparameter point- wise and local ergodic theorems for*strongly*continuous semi- groups*of*the type considered above. ...##
###
Page 6087 of Mathematical Reviews Vol. , Issue 2003h
[page]

2003
*
Mathematical Reviews
*

The author investigates the ergodic and mixing properties

*of*a quantum dynamical semigroup, namely a C,’-semigroup (a,;t > 0)*of*positive linear maps a,, on a*strongly**finite*von Neumann algebra “4. ... (PL-LODZM; Lodz) Quantum dynamical semigroups in*strongly**finite*von Neumann algebras. (English summary) Acta Math. Hungar. 92 (2001), no. 1-2, 11-17. ...##
###
Strongly peaking representations and compressions of operator systems
[article]

2020
*
arXiv
*
pre-print

We use Arveson's notion

arXiv:2005.11582v2
fatcat:ygkuozs5ivaajl7nkzgjrwbgt4
*of**strongly*peaking representation to generalize uniqueness theorems for free spectrahedra and matrix convex sets which admit minimal*presentations*. ... In particular, a fully compressed*presentation**of*a separable operator system is unique up to unitary equivalence. ... These C * -algebras are used in [22, Theorem 1.5 ] to prove*finite*-dimensional*dilation*results. ...##
###
Page 826 of Mathematical Reviews Vol. , Issue 87b
[page]

1987
*
Mathematical Reviews
*

Author summary: “We

*present*new results concerning Markov*dilations*on the algebra M,*of*2 x 2 matrices. ... The author considers a*strongly*continuous one-parameter group*of*automorphisms*of*a C*-algebra A. ...##
###
On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space

2018
*
IEEE Transactions on Automatic Control
*

The

doi:10.1109/tac.2018.2797838
fatcat:3i3kr225djfffkfb2mhhvyvlvy
*finite*-time control*of*PDEs is still the topic*of*intensive research [23], [24], [25], [26], [27]. ... The designed control law steers any solution*of*the closed-loop system to zero in a*finite*time. ...*presented*. ...##
###
Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems

2016
*
Automatica
*

The

doi:10.1016/j.automatica.2015.10.003
fatcat:o3pzdr2n6zhvlkt77zrpnjjtty
*dilated*LMIs are later used to design a robust controller for the*finite*time control*of*discrete-time uncertain linear systems. ... This paper provides new*dilated*linear matrix inequalities (LMIs) characterizations for the*finite*time boundedness (FTB) and the*finite*time stability (FTS) analysis*of*discrete-time uncertain linear ... The conditions*presented*in Theorem 3 and 4 can be easily extended to solve the problem*of*the*finite*time control*of*uncertain LTV systems. ...##
###
Page 6630 of Mathematical Reviews Vol. , Issue 2002I
[page]

2002
*
Mathematical Reviews
*

In his attempt to generalize all this to his J-unitary

*dilations*, the author begins by*presenting*, for the case*of*a contraction, a fallacious argument for the existence*of*the preceding strong- operator ... ,X, = P,y (n > 1) where (P,,) is a suitable sequence*of*pro- jection operators on E* which converges*strongly*on E* to the identity operator. ...##
###
Response of piles to inclined uplift loads

2007
*
European Journal of Computational Mechanics
*

This paper

doi:10.13052/remn.16.419-435
fatcat:aew5g22cpzfwlgcpgj6zdrsdri
*presents*a three-dimensional*finite*element analysis*of*the response*of*piles to inclined uplift loads. It deals with the influence*of*the soil-pile interface on this response. ... the axial response*of*piles. ... Since the piles behaviour*strongly*depends on the condition at the soil-pile interface, this paper*presents*analysis*of*the influence*of*this condition on the response*of*piles to inclined loads. ...##
###
Page 1519 of Mathematical Reviews Vol. , Issue 83d
[page]

1983
*
Mathematical Reviews
*

An analogue

*of*the Jordan canonical form is*presented*along the line*of*Sz. ... One*of*the advantages*of*the use*of*Hardy spaces is the fact that a contraction A is given an analytic model, analogous to that in Chapter I; if A*"—0*strongly*as n— 00, A is unitarily equivalent to the ...
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