Skew m-complex symmetric operators

Muneo Chō; Eungil Ko; Ji Eun Lee

doi:10.2298/FIL1910975C

Skew m-complex symmetric operators

Muneo Chō, Eungil Ko, Ji Eun Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper we study skew m-complex symmetric operators. In particular, we show that if T ∈ L(H) is a skew m-complex symmetric operator with a conjugation C, then e^itT, e^−itT, and e^−itT ^∗ are (m, C)-isometric for every t ∈ R. Moreover, we examine some conditions for skew m-complex symmetric operators to be skew (m − 1)-complex symmetric.

Original language	English
Pages (from-to)	2975-2983
Number of pages	9
Journal	Filomat
Volume	33
Issue number	10
DOIs	https://doi.org/10.2298/FIL1910975C
State	Published - 2019

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© University of Nis. All rights reserved.

Keywords

(m
C)-Isometric operator
Skew m-complex symmetric operator

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10.2298/FIL1910975C

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title = "Skew m-complex symmetric operators",

abstract = "In this paper we study skew m-complex symmetric operators. In particular, we show that if T ∈ L(H) is a skew m-complex symmetric operator with a conjugation C, then eitT, e−itT, and e−itT ∗ are (m, C)-isometric for every t ∈ R. Moreover, we examine some conditions for skew m-complex symmetric operators to be skew (m − 1)-complex symmetric.",

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AU - Ko, Eungil

AU - Lee, Ji Eun

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AB - In this paper we study skew m-complex symmetric operators. In particular, we show that if T ∈ L(H) is a skew m-complex symmetric operator with a conjugation C, then eitT, e−itT, and e−itT ∗ are (m, C)-isometric for every t ∈ R. Moreover, we examine some conditions for skew m-complex symmetric operators to be skew (m − 1)-complex symmetric.

KW - (m

KW - C)-Isometric operator

KW - Skew m-complex symmetric operator

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U2 - 10.2298/FIL1910975C

DO - 10.2298/FIL1910975C

M3 - Article

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VL - 33

SP - 2975

EP - 2983

JO - Filomat

JF - Filomat

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ER -

Skew m-complex symmetric operators

Abstract

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Keywords

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