[PDF] Top 20 On (N+K) Power Class (Q) Operators in the Hilbert Space - I
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On (N+K) Power Class (Q) Operators in the Hilbert Space - I
... not class (Q) operator and 𝑇 ∗ 2 𝑇 4 = −1 −2 0 −1 ≠ 1 0 4 1 = (𝑇 ∗ 𝑇 2 ) 2 , and therefore T is not 2 power class (Q) ...3 power class (Q) ... See full document
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On (N+K) Power Class(Q) Operators in the Hilbert Space - II
... of operators in (n+k) power class (Q)for any k ≥ 0 and for particular integer n in the Hilbert ...in class (Q) on H , in addition it is complex ... See full document
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Isomorphism of Groups of Operators on Hilbert Space
... Metric (or Distance Function): ―Let M be a non empty set then a real valued function d defined on M⨯M is called a distance function (or metric function or simply metric on M ) if the following conditions are satisfied ... See full document
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3. On k-quasi class $A_{n}^{*}$ operators
... Throughout this paper, let H be an infinite dimensional separable complex Hilbert space with inner product h·, ·i. Let L(H) denote the C ∗ algebra for all bounded operators on H. We shall ... See full document
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Fock Spaces for the q Dunkl Kernel
... [2] V. Bargmann, “On a Hilbert Space of Anal ytic Functions and an Associated Integral Transform, Part I,” Commu- nications on Pure and Applied Mathematics, Vol. 14, No. 3, 1961, pp. 187-214. ... See full document
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Obituary: T Trevor West 1938 2012
... of operators on Banach spaces also and noted that if T is a Riesz operator with σ(T ) \ {0} finite, then it is straightforward that T = Q + C with QC = CQ = 0, but several questions were unresolved then, and ... See full document
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2. On k-quasi class Q operators
... complex Hilbert space with inner product h·, ...bounded operators on H. For T ∈ L(H), we denote by kerT the null space, by T (H) the range of T and by σ(T ) the spectrum of T ...and I, ... See full document
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Norm and numerical radius inequalities for sums of operators in Hilbert spaces
... linear space over the real or complex number field K and let us denote by H (X) the class of all positive semi-definite Hermitian forms on X, or, for simplicity, nonnegative forms on X, ...→ K ... See full document
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21. On the class of $n$-power quasi-normal operators on Hilbert space
... complex Hilbert space, is quasi-normal if T and T ∗ T commute. The class of quasi-normal operators was first introduced and studied by ...this class contains normal operators and ... See full document
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BISHOP'S PROPERTY () AND WEIGHTED CONDITIONAL TYPE OPERATORS IN k-QUASI CLASS A n
... Let B(H) denote the C ∗ -algebra of all bounded linear operators on an infinite dimen- sional complex Hilbert space H. We shall write ker(T) and ran(T ) for the null space and range of T , ... See full document
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Aluthge Transformation of (n,k) Quasi Class Q and (n,k) Quasi Class Q^* Operators
... new class of operators called (n,k) quasi class Q and (n,k) quasi class Q^* operators are introduced and studied some ...Quasi class ... See full document
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On a certain class of nonstationary sequences in Hilbert space
... the closed linear envelope of X = {X(n); n ∈ Z}. This representation as well as the spectral theory of the monoparametric groups of unitary operators allowed to find the general form of the function ... See full document
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Hilbert space theory for relativistic dynamics with reflection. Special cases
... associated Hilbert space theory. We intend to return to the Hilbert space theory for the general case in a companion ...these Hilbert space aspects in a wider context and ... See full document
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Čebyšëv subspaces of JBW∗ triples
... Banach space B(H, K) of bounded linear operators between two complex Hilbert spaces, H and K, where the triple product is de- fined by ...complex Hilbert space provided ... See full document
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A study on numerical range of operators in a hilbert space
... Notwithstanding the fact that the numerical range is still a useful to o l f o r the study of finite matrices, the scope of the concept of numerical ranges has been enlarged by its usefu[r] ... See full document
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Quantum time evolution in terms of nonredundant probabilities
... Conceptually, the “realization” introduced here differs from other formulations of quantum mechanics “without wave function” such as the familiar phase-space represen- tation through Wigner functions for a ... See full document
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A Study on Quasi Class Q Operator
... CLASS Q OPERATOR : In [2], B.P.Duggal, C.S.Kubrusly and N.Levan introduced a new class ‘Class Q ’ operator and showed that this class of operators properly induces the paranormal operat[r] ... See full document
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On a Class of Composition Operators on Bergman Space
... Let h ∞ ( D ) be the space of bounded harmonic functions on D . Then h ∞ ( D ) ⊂ L ∞ ( D ). It is well known (see [9]) that every harmonic function on D is the sum of an analytic function and the conjugate of ... See full document
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Some generalization of power inequalities for the numerical radius of sum of products of two operators in a Hilbert space
... In this paper, we generalize some power inequalities numerical radius for the finite number sum of product of two operators in a Hilbert space.. Also we generalized some inequalities for[r] ... See full document
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Trace Inequalities of Lipschitz Type for Power Series of Operators on Hilbert Spaces
... Key words : Banach algebras of operators on Hilbert spaces, Power series, Lipschitz type inequalities, Jensen’s type inequalities, Trace of operators, Hilbert-Schmidt norm.. AMS Subject [r] ... See full document
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