von Neumann algebra
Egoroff's theorem in measurable operator spaces associated with a Von Neumann algebra
... a von Neumann algebra if M is a strongly(weakly) closed ∗-subalgebra of B(H ) containing ...a von Neumann algebra if and only if M = M 00 ...
10
The Spectral Scale of a Self Adjoint Operator in a Semifinite von Neumann Algebra
... The notion of a “joint spectrum” for an n-tuple of operators was created and developed through the 1970s and work continues today. For an account of the various approaches taken and the achievements made see 1, page 3. ...
25
Nuclear JC algebras and tensor products of types
... C*-algebras, Von Neumann algebra, nuclear C*-algebra, Jordan algebra, ./C-algebra, tensor products of operator algebras.. 1991 AMS SUBJECT CLASSIFICATION CODES.[r] ...
7
On the Necessity of Complex Numbers in Quantum Mechanics
... irreducible von Neumann algebra of observables over a real, complex or quaternionic Hilbert space whose set of orthogonal projectors provides the lattice of elementary ...
219
Embeddings, dimension groups and presentations of AF algebras, and the index of subfactors
... Subfactors of the hyperfmite type II j factor, with index less than four have been classified by Ocneanu [O]. He showed that such subfactors may be obtained as von Neumann algebra completions of ...
129
Some convexity inequalities in noncommutative Lp spaces
... affiliated with a semi-finite von Neumann algebra equipped with a normal faithful semi- finite trace τ . On one hand, we use the method of Hiai and Zhan, via the notion of gener- alized singular value ...
6
The ?2 cohomology of hyperplane complements
... Instead of reduced ℓ2 -cohomology one takes local coefficients in the von Neumann algebra associated to the fundamental group and the vanishing results only hold modulo modules which don[r] ...
11
UNITARILY INVARIANT NORMS ON FINITE VON NEUMANN ALGEBRAS, Haihui Fan
... Definition 4. If (Ω, µ) is a probability space, then L ∞ (µ) is a von Neumann algebra, and a unitarily invariant norm α on L ∞ (µ) is called a normalized gauge norm on L ∞ (µ). In this case all we ...
77
Conditional Expectations for Unbounded Operator Algebras
... for von Neumann ...the von Neumann algebra ᏹ onto the von Neu- mann subalgebra ᏺ if and only if Δ it ξ 0 ᏺΔ ξ − 0 it = ᏺ for all t ∈ R , where Δ ξ 0 is the ...
22
On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces
... Abstract. We define a particular space of bounded linear maps using a Von Neumann algebra and some operator spaces. By this, we prove some isomor- phisms, and using interpolation in some particular ...
13
On the function TreH+itK
... We prove, for two free semicircularly distributed selfadjoint elements a and b in a type II 1 von Neumann algebra with faithful trace τ , that the function t ∈ R τ(exp(a + itb)) is positive definite. ...
5
An application of the Sakai's theorem to the characterization of H* algebras
... The well-known Sakai’s tl,eorem, xvl,ich states ll,at every d.rivalion acting on a von Neumann algebra is inner, is ,sed 1o el,lain a new elegant pro,f of the Saworotnov’s characterizati[r] ...
6
Von Neumann entropy and majorization
... the von Neumann algebra of all bounded linear operators on a separable Hilbert space H over C and S(H) be the set of all density operators on ...
14
ON THE DIAGONALS OF PROJECTIONS IN MATRIX ALGEBRAS OVER VON NEUMANN ALGEBRAS Soumyashant Nayak A DISSERTATION in Mathematics Presented to the Faculties of the University of Pennsylvania in Partial Fulfilment of the Requirements for the Degree of Doctor of Philosophy 2016
... In the next chapter, we describe the notation and conventions used in this document. We also set up the necessary background and context for the results in the later chapters, discussing the notions of numerical ranges, ...
75
Dependent Elements of Derivations on Semiprime Rings
... and von Neumann algebras are semiprime rings; in particular a von Neumann algebra is prime if and only if its centre consists of the scalar multiples of identity ...or von ...
6
Lamplighter groups and von Neumann's continuous regular rings
... ∗-regular algebra R, then there exists a smallest ∗-regular subalgebra containing X, the ∗-regular ...group algebra. Then one can consider the natural embedding of the group algebra to its group ...
14
On the Tensor Products of Maximal Abelian JW Algebras
... abelian von Neumann subalgebras of von Neumann algebras M and N, respectively, then A⊗B is a maximal abelian von Neumann subalgebra of ...enveloping von Neumann ...
7
Ranges of bimodule projections and conditional expectations
... Examples of Baer rings include: the C*-algebra of all bounded sequences of complex numbers, the ring of bounded linear operators on a Hilbert space, a von Neumann algebra.. an idempotent[r] ...
150
A generalization of the Birkhoff-von Neumann theorem
... 2. On the right find inside the rectangle containing the ’twin’ of the selected edge from the left side, a perfect matching containing that ’twin’ edge you found on the right and which does not contain any ’isolated ...
42
Generalizations of the Nash Equilibrium Theorem in the KKM Theory
... In Section 2, we state basic facts and examples of abstract convex spaces in our previous works 24–26. Section 3 deals with a characterization of the partial KKM principle and shows that such principle is equivalent to ...
23