[PDF] Top 20 21. On the class of $n$-power quasi-normal operators on Hilbert space
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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 ...The class of quasi-normal operators was first introduced and studied by ...this class contains ... See full document
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Hilbert space theory for relativistic dynamics with reflection. Special cases
... large class of one-variable A Os yielding reflectionless unitary eigenfunction transforms has been introduced in ...associated Hilbert space transforms makes essential use of previous results on the ... See full document
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$(n,m)$-Power Quasi Normal Operators in Semi-Hilbertian Spaces
... complex Hilbert space is quasi-normal if and ∗ ...The class of quasi-normal operators was first introduced and studied by ...this class contains ... See full document
5
Some Inequalities for (α,β)-Normal Operators in Hilbert Spaces
... For other results and historical comments on the numerical radius see [10]. In this paper, we establish various inequalities between the operator norm and its numerical radius of (α, β)-normal operators in ... 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 ... See full document
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A note on k quasi ∗ paranormal operators
... be normal if [T ∗ , T] is zero, and T is said to be hyponormal if [T ∗ , T] is nonnegative (equivalently if | T | ≥ | T ∗ | ...interesting class of bounded linear Hilbert space ... See full document
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Some inequalities of Furuta's type for functions of operators defined by power series
... for power series of bounded linear operators in Hilbert spaces are ...for normal operators and some functions of interest such as the exponential, hyperbolic and trigonometric functions ... See full document
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(Alpha, Beta)-Normal and Skew n-Normal Composite Multiplication Operator on Hilbert Spaces
... such operators and study the relation among skew n-normal operators, ( α β , ) -normal operator, parahyponormal and quasi-parahyponormal composite multiplication operators ... See full document
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3. On k-quasi class $A_{n}^{*}$ operators
... either normal or hyponormal operator. In [21] Xia showed that if T is a semihyponormal operator then holds ...∗−paranormal operators in [10]. Cho and Yamazaki in [8] showed that if T is class ... See full document
11
On properties of k quasi class A(n) operators
... product space H ⊗ K for nonzero T ∈ B( H ) and S ∈ ...is normal if and only if T and S are normal [, ]; however, there exist paranormal operators T ∈ B(H) and S ∈ B(K) such that T ⊗ S is ... 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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A- M-QUASI NORMAL OPERATORS IN SEMI HILBERTIAN SPACES.
... [5] Laura Arias M , Gustavo corach and Celeste Gonzalez M ,Metric properties of projections in Semi Hilbertian Spaces, Integral Equations and Operators Theory, 62 (2008),11-28.[r] ... See full document
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On (N+K) Power Class (Q) Operators in the Hilbert Space - I
... Linear operators on a Real (Complex) Hilbert space H is taken for the research work and the following findings on the class of (n+k) power class (Q) operators are ... See full document
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On (N+K) Power Class(Q) Operators in the Hilbert Space - II
... introduced class (Q) operators acting on the Hilbert ...in class (Q) if it satisfies the condition 𝑇 ∗ 2 𝑇 2 = 𝑇 ∗ 𝑇 2 ...and N. Sivamani [3] defined n power class ... See full document
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n-power Quasi-isometry and n-power Normal Composition Operators on L2-spaces
... linear operators on an infinite dimensional complex Hilbert space ...an n- power quasi-isometry if A n−1 A ∗2 A 2 = A ∗ AA n−1 for all n ∈ Z + ...is ... 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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Multiclass Learning at One class Complexity
... The departure from the original perceptron algorithm is very slight. Here we need to learn a matrix realizing the projection of the input vectors into the output space. The incremen- tal subgradient based update ... 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
30
New Reverse Inequalities for Normal Operators in Hilbert Spaces
... Some of the obtained results are based on recent reverse results for the Schwarz inequality in Hilbert spaces due to the author1. Numerical radius, Bounded linear operators, Normal opera[r] ... See full document
9
Isomorphism of Groups of Operators on Hilbert Space
... linear space E in to a linear space E then T preserves the origin and ...linear space (over the field K). then a mapping T:E→E from a linear space E in to E itself is called a linear operator ... See full document
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