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1
The Philosophical Significance of
Unitarily Inequivalent ...
6 Theorem 4.7.3.2: Suppose that and φ π ψ π are irreducible representations of a
C*-algebra A . (i) φ π and ψ π are unitarily equivalent if and only if they are quasi-
equivalent. (ii) φπ and ψ π are unitarily inequivalent if and only if they are ...
Tracy Alexander Lupher, 2008
2
Unitarily Invariant Norms and Tensor Products of Maximal ...
The first part of the dissertation is joint work with Don Hadwin, Eric Nordgren and Junhao Shen.
For which unitarily invariant norms are the bounds in (6.3.4) and (6.3.8)
consequences of the preceding corollary? 7.4.10 Unitarily invariant matrix norms.
Let ||-|| be a unitarily invariant matrix norm on M,. For any A G M,, (5.6.34(d))
ensures that ...
Roger A. Horn, Charles R. Johnson, 2012
4
A Hilbert Space Problem Book
If P and Q are diagonal operators, with diagonals la,,] and (//n], and if |aj = \/in\ for
all n, then the weighted shifts A = SP and B = SQ are unitarily equivalent. A
discussion of two weighted shifts should, by rights, refer to two ortho- normal
bases, ...
P.R. Halmos, Paul Richard Halmos, 1982
5
Operator Theory and Complex Analysis
INTRODUCTION It is well-known that a cyclic selfadjoint operator in a Hilbert
space is unitarily equivalent to the operator of multiplication by the independent
variable in a space Li (a) with a positive measure a. In the present paper we
prove a ...
Tsuyoshi Ando, Israel Gohberg, 1992
6
A Theory of Cross-Spaces
that is, those which satisfy the condition of( once) = O. ( X ) for any operator X of
finite rank and any pair of unitary operators U and V We actually characterize the
precise class of unitarily invariant crossnorms as the one which can be generated
...
7
Optimization and Related Topics
Mathematics Subject Classification (2000): 49J52, 47B10 1 INTRODUCTION
Unitarily invariant functions of bounded self-adjoint operators on a separable
Hilbert space appear natural in many analysis and optimization problems.
Alexander M. Rubinov, Barney M. Glover, 2000
8
Hardy Classes and Operator Theory
Definition. An operator A e £(Jft is unitarily equivalent to an operator B e 3HXt if
there is a Hilhert space isomorphism V mapping Jf onto Jf such that A = UlBU.
Typically, in operator theory unitarily equivalent operators are viewed as heing ...
Marvin Rosenblum, James Rovnyak, 1997
9
Lax-Phillips Scattering and Conservative Linear Systems: A ...
Moreover, any other minimal Cuntz scattering system & (3.1.1) with scattering
function equal to S is unitarily equivalent to the Sz.-Nagy-Foia§-model scattering
system &NF associated with S via the identification map INF'. K. — * K.NF given
by ...
Joseph A. Ball Victor Vinnikov
10
Essential Results of Functional Analysis
Then 7\ and Ti are called unitarily equivalent if there is a unitary map U :Ei-* E2
such that UTiU~l = T2. Example 4.2.2: Let Ex = i2(Z+). Let A,- € C with |A,| -♢ 0,
and let T\ G B(E) be given by T\Xi = A,ar,-, where {«,-} is the orthonormal basis xi ...
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Quantum coherence and correlations in quantum system
Since the incoherent states under two different bases are unitarily equivalent, then there are same matrix elements under the different bases for given quantum ... «Nature.com, 六月 15»
Never Waste a Good Scandal
As it turned out, an airless confab of powdered-wig wise men could not unitarily advance the business of the Republic. Compromise and imprecision are after all ... «CounterPunch, 六月 15»
UN Cyprus envoy say sees no obstacle to new peace talks
Greek Cypriots suspended their participation in peace talks last October, furious at moves by Turkey to send research ships into areas Nicosia had unitarily ... «Hurriyet Daily News, 四月 15»
Robotics can be a 'revolution' for EU economy
Addressing these differences unitarily appears challenging. "Whereas some studies argue that highly robotised economies are net job creators - Germany is ... «TheParliamentMagazine.eu, 十二月 14»
Serbia protests IOC Kosovo provisional recognition
Kosovo unitarily declared independence from Serbia in 2008. Serbia, which considers Kosovo the cradle of its statehood, has refused to accept the split. «Yahoo Canada Sports, 十月 14»
IDC: Next Two Years To Be 'Significant Launch Point' For SDN In …
"It's worth noting that the market will not behave unitarily," Casemore wrote in an email to CRN. "Some segments of the market are further ahead in their journey ... «CRN, 八月 14»
New regulatory regime for Company Service Providers – 2
The strong preference expressed by the industry during the consultation stage for treating commonly owned or controlled CSPs unitarily as a group for all ... «Times of Malta, 五月 14»
MCSC appeals to Student Judiciary
Although Checker said he did not “unitarily” make decisions on Student Judiciary, Wick-Bander said Checker should have disclosed this information, as “it would ... «UW Badger Herald, 十月 13»
Syria's war splits nation into 3 distinct regions
“Considering the sheer scale of its territorial losses in some areas of the country, Syria no longer functions as a single all-encompassing unitarily governed state. «The Times of Israel, 八月 13»
Deoleo for sale. The company' control costs just over € 200 million
Now it's confirmed that Bankia (18.2%) and Caixabank (5.2%), but also Unicaja, Kutxabank and Banco Mare Nostrum (around 9%) would unitarily entrusted to ... «Teatro Naturale, 八月 13»
