REMARKS ON SPECTRAL PROPERTIES OF p-HYPONORMAL AND LOG-HYPONORMAL OPERATORS

Bhagwati, P Duggal; Jeon, In-Ho

doi:10.4134/bkms.2005.42.3.543

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Corollary 25 If a 1 A 2 ∈ B(h) Are Essentially Normal Op2

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“…(A p-hyponormal is qhyponormal for every 0 < q ≤ p (see [23] and [10]), and we may assume without loss of generality that p = 2 m−1 for some natural number m.)…”

Section: Corollary 25 If a 1 A 2 ∈ B(h) Are Essentially Normal Opmentioning

confidence: 99%

“…It is worth mentioning at this juncture that p-hyponormal operators belong to the set S. To see this, recall that p-hyponormal operators are normaloid and to each p-hyponormal operator A there corresponds a hyponormal operatorÃ such that σ e (A) = σ e (Ã) and ||A|| = ||Ã|| [10], which implies that ||π(Ã)|| = ||π(A)|| = ||Ã|| = ||A||.…”

Section: Corollary 25 If a 1 A 2 ∈ B(h) Are Essentially Normal Opmentioning

confidence: 99%

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A perturbed elementary operator and range-kernel orthogonality

Duggal

2005

Proc. Amer. Math. Soc.

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“…(A p-hyponormal is qhyponormal for every 0 < q ≤ p (see [23] and [10]), and we may assume without loss of generality that p = 2 m−1 for some natural number m.)…”

Section: Corollary 25 If a 1 A 2 ∈ B(h) Are Essentially Normal Opmentioning

confidence: 99%

Section: Corollary 25 If a 1 A 2 ∈ B(h) Are Essentially Normal Opmentioning

confidence: 99%

A perturbed elementary operator and range-kernel orthogonality

Duggal

2005

Proc. Amer. Math. Soc.

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show abstract

A generalized commutativity theorem for pk-quasihyponormal operators

Duggal

2007

Filomat

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For Hilbert space operators A and B, let ?AB denote the generalized derivation ?AB(X) = AX - XB and let /\AB denote the elementary operator rAB(X) = AXB-X. If A is a pk-quasihyponormal operator, A ? pk - QH, and B*is an either p-hyponormal or injective dominant or injective pk - QH operator (resp., B*is an either p-hyponormal or dominant or pk - QH operator), then ?AB(X) = 0 =? SA*B*(X) = 0 (resp., rAB(X) = 0 =? rA*B*(X) = 0). .

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REMARKS ON SPECTRAL PROPERTIES OF p-HYPONORMAL AND LOG-HYPONORMAL OPERATORS

Cited by 2 publications

References 14 publications

A perturbed elementary operator and range-kernel orthogonality

A perturbed elementary operator and range-kernel orthogonality

A generalized commutativity theorem for pk-quasihyponormal operators

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