Geodesic
Fredholmness and Weylness of block operator matrices
Filomat, Tome 36 (2022) no. 8, p. 2507

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DOI

This paper has aim to characterize Fredholmness and Weylness of upper triangular operator matrices having arbitrary dimension n ≥ 2. We present various characterization results in the setting of infinite dimensional Hilbert spaces, thus extending some known results from Cao X. et al. (Acta Math. Sin. (Engl. Ser.) 22 (2006), no. 1, 169–178 and J. Math. Anal. Appl. 304 (2005), no. 2, 759–771) and Zhang et al. (J. Math. Anal. Appl. 392 (2012), no. 2, 103–110) to the case of arbitrary dimension n ≥ 2. We pose our results without using separability assumption, thus improving perturbation results from Wu X. et al. (Ann. Funct. Anal. 11 (2020), no. 3, 780–798 and Acta Math. Sin. (Engl. Ser.) 36 (2020), no. 7, 783–796).
DOI : 10.2298/FIL2208507S
Classification : 47A08, 47A53, 47A55, 47A05, 47A10
Keywords: Fredholmness, Weylness, operator matrices 
Nikola Sarajlija. Fredholmness and Weylness of block operator matrices. Filomat, Tome 36 (2022) no. 8, p. 2507 . doi: 10.2298/FIL2208507S
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     author = {Nikola Sarajlija},
     title = {Fredholmness and {Weylness} of block operator matrices},
     journal = {Filomat},
     pages = {2507 },
     year = {2022},
     volume = {36},
     number = {8},
     doi = {10.2298/FIL2208507S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2208507S/}
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