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Finite presentability of strongly finite dilators

Osamu Takaki
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.  ... 
doi:10.1051/ita:2000125 fatcat:xi5xcitefvddzezreufvdy5kx4

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

Andrey Polyakov, Jean-Michel Coron, Lionel Rosier
2016 2016 IEEE 55th Conference on Decision and Control (CDC)  
Generalized monotone 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] .  ... 
doi:10.1109/cdc.2016.7798740 dblp:conf/cdc/PolyakovCR16 fatcat:zlaoeb4zzbfmhjo2yxrhgko2r4

A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements

Mehmet Sahin, Helen J. Wilson
2007 Journal of Non-Newtonian Fluid Mechanics  
Why 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.  ... 
doi:10.1016/j.jnnfm.2007.06.008 fatcat:xhe4iwc6ybflpapt2k6fffgxtq

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]

Kenneth R. Davidson, Benjamin Passer
2020 arXiv   pre-print
We use Arveson's notion 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.  ... 
arXiv:2005.11582v2 fatcat:ygkuozs5ivaajl7nkzgjrwbgt4

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

Andrey Polyakov, Jean-Michel Coron, Lionel Rosier
2018 IEEE Transactions on Automatic Control  
The 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.  ... 
doi:10.1109/tac.2018.2797838 fatcat:3i3kr225djfffkfb2mhhvyvlvy

Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems

Damiano Rotondo, Fatiha Nejjari, Vicenç Puig
2016 Automatica  
The 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.  ... 
doi:10.1016/j.automatica.2015.10.003 fatcat:o3pzdr2n6zhvlkt77zrpnjjtty

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

Hussein Mroueh, Isam Shahrour
2007 European Journal of Computational Mechanics  
This paper 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.  ... 
doi:10.13052/remn.16.419-435 fatcat:aew5g22cpzfwlgcpgj6zdrsdri

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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