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Home > Positive element

If A is a bounded linear operator on a Hilbert space H, then this notion coincides with the condition that

be positive for every vector x in H.

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Topics: Positive Element C*-algebra Hermitian Square Condition Root...

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Positive-definite matrixIn linear algebra, the positive-definite matrices are (in several ways) analogous to the positive real numbers. An n × n Hermitian matrix M is said to be positive definite if it has one (and therefore all) of the following 6 equivalent properties: 1 For a Positive psychologyA term coined by psychologist Martin E. Seligman, and a movement in psychology which emphasizes what is right with people rather than what is wrong with them. Psychology tends to be about negative things anxiety, depression, stress. It is typified by the Positive feedbackPositive feedback is a type of feedback. Open systems (ecological, biological, social) contain many types of regulatory systems, among which are systems that involve positive feedback and its relative negative feedback. When a change of variable occurs in PositiveIn common usage positive is sometimes used in affirmation, as a synonym for "yes" or to express "certainty". In mathematics, a number is called positive if it is bigger than zero. See negative and non-negative numbers. In functional analysis, a bounded li Positive rightPositive rights or civil rights are rights or guarantees to certain things, as opposed to negative rights which are the rights from certain things, usually freedoms from abuse or coercion by others. For example, a right to an education is a positive right Positive libertyPositive liberty an idea that was first expressed and analyzed as a separate conception of liberty by John Stewart Mill but most notably described by Isaiah Berlin, refers to the ability to act to fulfill one's own potential, as opposed to negative libert Positive definite Positive (social sciences) Positive resist Positive linear functional Positive element Positive outcome bias Positive economics Positive pressure Positiveness