Encyclopedia results for Unitary operator

1. Unitary operator
   , a unitary operator is a bounded linear operator U     H   â   H on a Hilbert ... is trivially a unitary operator. On the vector space C of complex number s, multiplication by a number ..
   
   
   
2. Unitary
   . Unitary System . In mathematics , see Unitary matrix , Unitary operator , Unitary transformation ...Wiktionarypar unitary Unitary may refer to In Automotive design , unitary construction is another common ..
   
   
   
3. Unitary equivalence
   For unitary equivalence of bounded operator s in Hilbert space , see self adjoint operator . For unitary equivalence of unitary representation s see that page. mathdab ..
   
   
   
4. Unitary representation
   In mathematics , a unitary representation of a Group mathematics group G is a linear representation &pi of G on a complex Hilbert space V such that &pi g is a unitary operator for every g &isin G . The general ..
   
   
   
5. Unitary transformation
   reversal antiunitary Unitary group Unitary operator Wigner s Theorem Mathanalysis stub Category ...A unitary transformation is an isomorphism between two Hilbert space s. In other words, a unitary transformation ..
   
   
   
6. Unitary divisor
   In mathematics , a natural number math a math is a unitary divisor of a number math b math if math a math and math frac b a math are coprime , having no common factor other than 1. Thus, 5 is a unitary ..
   
   
   
7. Operator
   Otheruses4 operators in mathematics other uses operator disambiguation In mathematics , an operator is a function mathematics function which operates on or modifies another function. Often, an operator ..
   
   
   
8. Unitary group
   Groups In mathematics , the unitary group of degree n , denoted U n , is the group mathematics group of n × n unitary matrix unitary matrices , with the group operation that of matrix multiplication ..
   
   
   
9. OperaTor
   Otheruses4 OperaTor software other uses operator disambiguation expand date April 2008 Infobox Software name OperaTor screenshot Image Operator scr.png 250px caption OperaTor 2.2 showing the start page ..
   
   
   
10. Unitary enterprise
    Unitary enterprise is a form of a business in Russia and some other post Soviet states is a commercial .... The owners of the property of a unitary enterprise have no responsibility for its operation and vice ..
    
    
    
11. Unitary matrix
    In mathematics , a unitary matrix is an n by n complex number complex matrix mathematics matrix U satisfying ... that a matrix U is unitary if and only if it has an inverse matrix inverse which is equal to its conjugate ..
    
    
    
12. Unitary state
    Unreferenced date March 2008 Image Map of unitary states.svg thumb right 380px A map showing the unitary states. A unitary state is a state whose three organs of state are governed constitution ally as one ..
    
    
    
13. ?? Operator
    The code ?? code operator, sometimes called the Coalescing Operator, is an Operator programming operator ... ? code statements work in functional programming languages. This operator s most common usage is to minimize ..
    
    
    
14. Unitary authority
    Refimprove date December 2007 seealso Independent city A unitary authority is a type of local authority ... government or a higher level of sub national government. Typically unitary authorities cover town ..
    
    
    
15. Unitary urbanism
    Refimprove date July 2007 Unitary urbanism UU was the critique of status quo urbanism employed by the Lettrist .... London based evoL Psychogeographix is one of the few groups openly practicing unitary urbanism ..
    
    
    
16. Special unitary group
    Groups In mathematics , the special unitary group of degree n , denoted SU n , is the group mathematics group of n × n unitary matrix unitary matrices with determinant 1. The group operation is that of matrix ..
    
    
    
17. Householder operator
    properties such as linearity, being self adjoint, and is a unitary or orthogonal operator on V. algebra ...In Linear Algebra, define the Householder operator as follows. Let math V , math be a finite dimensional ..
    
    
    
18. Subnormal operator
    the properties of unitary operator s. A unitary operator is an isometry with dense range. Consider ... shows that U is unitary, therefore a normal extension of A . The operator U is called the unitary ..
    
    
    
19. Affiliated operator
    if A commutes with every unitary operator U in the commutant of M . Equivalent conditions are that each ... . However, by the spectral theorem , a positive self adjoint operator commutes with a unitary operator ..
    
    
    
20. Unitary perfect number
    Divisor classes A unitary perfect number is an integer which is the sum of its positive proper unitary divisor s, not including the number itself. A divisor d of a number n is a unitary divisor if d and n ..
    
    
    
21. Projective unitary group
    In mathematics , the projective unitary group PU n is the quotient group quotient of the unitary group ... of U n are complex n math times math n unitary matrices, and elements of the center are diagonal matrices ..
    
    
    
22. Democratic unitary state
    Democratic unitary states are democratic states which have a centralised political structure, as opposed ... single political unit, and are unitary in organization, are democratic unitary states. These countries ..
    
    
    
23. Unitary Development Plan
    In Town and country planning in the United Kingdom United Kingdom Planning Law a Unitary Development Plan UDP is an old style development plan prepared by a Metropolitan district and some Unitary authority ..
    
    
    
24. Quasinormal operator
    In operator theory , quasinormal operators is a class of bounded operators defined by weakening the requirements of a normal operator . Definition and some properties Definition Let A be a bounded operator ..
    
    
    
25. Normal operator
    , the range of N is dense if and only if N is injective. Examples of normal operators unitary operator ...In mathematics , especially functional analysis , a normal operator on a Hilbert space math H math or more ..