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• 作者：Abuzer P&#x131 ; nar
• 关键词：Browder spectrum ; Browder essential approximate point spectrum ; Operator matrices ; Semi-Fredholm operator
• 刊名：European Journal of Political Economy
• 出版年：2008
• 出版时间：June 2008
• 年：2008
• 卷：24
• 期：2
• 页码：534-538
• 全文大小：126 K

文摘

WhenAp://www.sciencedirect.com/scidirimg/entities/2208.gif"" alt=""set membership, variant"" title=""set membership, variant"" border=""0"">B(H) and Bp://www.sciencedirect.com/scidirimg/entities/2208.gif"" alt=""set membership, variant"" title=""set membership, variant"" border=""0"">B(K) are given, we denote by M_C the operator acting on the infinite dimensional separable Hilbert space Hp://www.sciencedirect.com/scidirimg/entities/2295.gif"" alt=""circled plus"" title=""circled plus"" border=""0"">K of the form pan class=""inlMMLBox"">p://www.sciencedirect.com/cache/MiamiImageURL/B6WK2-4RC2NWD-2-B/0?wchp=dGLbVzz-zSkWz"" alt=""View the MathML source"" title=""View the MathML source"" align=""absbottom"" border=""0"" height=22 width=""82""/>pan>. In this paper, we prove that

where σ_b(T), σ_ab(T), n(T), d(T) and Tp>*p> denote the Browder spectrum, Browder essential approximate point spectrum, nullity, deficiency and conjugate of T, respectively. Some related results are obtained.