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Cambridge Studies in Advanced Mathematics 202. Cambridge: Cambridge University Press (ISBN 978-1-316-51488-7/hbk; 978-1-00-909125-1/ebook). xiv, 267 p., open access (2023).

Reviewer: Kaveh Eftekharinasab (Kyjiw)

MSC: 58-01 53-01 22E67 22E65 46T05 55P55 57N20 57S05 58B10 58B20 58B25 58D05

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Cho, Ilwoo

**Banach-space operators on \(C^*\)-probability spaces generated by multi semicircular elements.** (English) Zbl 1504.46002

Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-19901-6/hbk; 978-1-032-20418-5/pbk; 978-1-003-26348-7/ebook). ix, 218 p. (2023).

Reviewer: Isamu Dôku (Saitama)

MSC: 46-02 46L54 46L53 46L60 46L55

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Gupta, Ved Prakash; Singh, Lav Kumar

On strong Arens irregularity of projective tensor product of Hilbert-Schmidt space. (English) Zbl 07688561

Houston J. Math. 48, No. 2, 337-351 (2022).

MSC: 46H20 46M05 46B28 47B10

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Cueto-Avellaneda, María; Peralta, Antonio M.

**Can one identify two unital JB*-algebras by the metric spaces determined by their sets of unitaries?** (English) Zbl 07681821

Linear Multilinear Algebra 70, No. 22, 7702-7727 (2022).

MSC: 47B49 46B03 46B20 46A22 46H70 46B04 46L05 17C65

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Brits, Rudi; Schulz, Francois; Touré, Cheick

Commutativity via spectra of exponentials. (English) Zbl 07678753

Can. Math. Bull. 65, No. 4, 815-824 (2022).

MSC: 46H05 31A05 15A16 15A27

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Belishev, M. I.

New notions and constructions of the boundary control method. (English) Zbl 07675874

Inverse Probl. Imaging 16, No. 6, 1447-1471 (2022).

MSC: 35R30 35R25 47Axx 46J10 30Fxx

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Ji, Kui; Ji, Shanshan

A note on unitary equivalence of operators acting on reproducing kernel Hilbert spaces. (English) Zbl 07674685

Houston J. Math. 48, No. 1, 125-148 (2022).

MSC: 47C15 47B37 47B48 47L40

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Hosseini, Maliheh

Reflexivity of sets of isometries on bounded variation function spaces. (English) Zbl 07674099

Linear Multilinear Algebra 70, No. 19, 4405-4415 (2022).

MSC: 47B38 46J10 47B33

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Jaatit, Ali

A note on local spectral subspace preservers. (English) Zbl 07674084

Linear Multilinear Algebra 70, No. 19, 4146-4156 (2022).

MSC: 47B49 47A11 47B48 47A15

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Ghahramani, H.; Mokhtari, A. H.

Characterizing linear maps of standard operator algebras through orthogonality. (English) Zbl 07672131

Acta Sci. Math. 88, No. 3-4, 777-786 (2022).

MSC: 47L10 47C10 47B49 47B47

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Chan, Jor-Ting; Li, Chi-Kwong

Unitarily invariant norms on operators. (English) Zbl 07672123

Acta Sci. Math. 88, No. 3-4, 611-625 (2022).

MSC: 15A04 15A60 47B48

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Nuriddinov, O. O.

Description of local derivations on nilpotent associative Jordan algebras of dimension five. (English) Zbl 07671833

Uzb. Math. J. 66, No. 4, 113-123 (2022).

MSC: 16W25 46L57 47B47 17C65

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Kravtsiv, V. V.; Zagorodnyuk, A.

Spectra of algebras of block-symmetric analytic functions of bounded type. (English) Zbl 07668655

Mat. Stud. 58, No. 1, 69-81 (2022).

MSC: 46G20 46G25 46J15

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Datt, Gopal; Gupta, Bhawna Bansal

Essential commutativity and spectral properties of slant Hankel operators over Lebesgue spaces. (English) Zbl 07666256

J. Math. Phys. 63, No. 6, Article ID 061703, 8 p. (2022).

MSC: 47B35 46E30 46J15

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Avsyankin, Oleg Gennadievich; Kamenskikh, Galina Aleksandrovna

On the algebra generated by Volterra integral operators with homogeneous kernels and continuous coefficients. (Russian. English summary) Zbl 07665333

Vladikavkaz. Mat. Zh. 24, No. 4, 19-29 (2022).

MSC: 47L80 47G10 47L15

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Arzikulov, F.; Karimjanov, I. A.

A criterion of local derivations on the seven-dimensional simple Malcev algebra. (English) Zbl 07663814

Oper. Matrices 16, No. 2, 495-511 (2022).

Reviewer: Sh. A. Ayupov (Tashkent)

MSC: 17D10 16W25 46L57 47B47 17C65

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Rodríguez Palacios, Angel; Cabrera García, Miguel

Standard operator Jordan rings on Banach spaces, and their derivations. (English) Zbl 07663809

Oper. Matrices 16, No. 2, 429-446 (2022).

MSC: 46H70 17C50 17C65 16W25 46H40 46K15 47B01 47B47 47L10

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Olfati, Alireza

The Banach algebra \(U(X)\) on a zero-dimensional space \(X\). (Persian. English summary) Zbl 07656357

JAMM, J. Adv. Math. Model. 12, No. 4, 506-514 (2022).

MSC: 46J10

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Naziri-Kordkandi, Ali

\(\varphi\)-multipliers on a class of topological algebras. (English) Zbl 07655823

Math. Bohem. 147, No. 4, 503-512 (2022).

MSC: 46H05 46A16 47C05

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Castro, L. P.; Guerra, R. C.; Tuan, N. M.

Convolutions and integral equations weighted by multi-dimensional Hermite functions. (English) Zbl 1506.45004

Asian-Eur. J. Math. 15, No. 8, Article ID 2250151, 35 p. (2022).

MSC: 45E10 33C45 43A32 44A20 44A35 46E25 47A05 47B48

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Shokri, A.

Ideals in the Banach algebras of \(\alpha\)-Lipschitz vector-valued operators. (English) Zbl 07648823

Acta Univ. Apulensis, Math. Inform. 69, 33-42 (2022).

MSC: 16D25 46H10 46J10 47B48

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Marzijarani, Azam Salehi; Essmaili, Morteza; Rejali, Ali

Homological properties of some types of generalized matrix Banach algebras. (English) Zbl 07648480

Bull. Iran. Math. Soc. 48, No. 6, 3767-3777 (2022).

MSC: 46M10 46H05 47L10

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Ferreira, João Carlos da Motta; Marietto, Maria das Graças Bruno

Nonlinear maps preserving a family of sum of triple products on \(\ast\)-algebras. (English) Zbl 07648476

Bull. Iran. Math. Soc. 48, No. 6, 3687-3699 (2022).

MSC: 46L10 47B48

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Alinejad, Ahmad; Rostami, Mehdi

Trivolutive Banach algebras and their closed ideals. (English) Zbl 07648467

Bull. Iran. Math. Soc. 48, No. 6, 3465-3479 (2022).

MSC: 46K05 43A20 43A30

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Austad, A.; Ortega, Eduard

Groupoids and Hermitian Banach \(\ast\)-algebras. (English) Zbl 07645576

Int. J. Math. 33, No. 14, Article ID 2250090, 25 p. (2022).

MSC: 22D20 22A22 43A15 46H05 47B01

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Found 13,888 Documents (Results 1–100)

Banach convolution modules of group algebras on covariant functions of characters of normal subgroups. (English) Zbl 07688643

A Banach space \(C(K)\) reading the dimension of \(K\). (English) Zbl 07687713

On Aupetit’s scarcity theorem. (English) Zbl 07687291

On the range of TRO-conditional expectations. (English) Zbl 07687202

Some applications of the \(\alpha\)-Duhamel product. (English) Zbl 07687052

A generalized ACK structure and the denseness of norm attaining operators. (English) Zbl 07686517

The regularity of the vector-valued Lipschitz algebras. (English) Zbl 07686481

Characterization of \(n\)-Jordan homomorphisms and their automatic continuity on Banach algebras. (English) Zbl 07686000

Maps preserving product \(A^* B + BA^*\) on \(C^*\)-algebras. (English) Zbl 07685994

Fredholm theory in quaternionic Banach algebras. (English) Zbl 07683841

One-point Gleason parts and point derivations in uniform algebras. (English) Zbl 07683756

Generation of the special linear group by elementary matrices in some measure Banach algebras. (English) Zbl 07683246

Homomorphisms on algebras of analytic functions on non-symmetrically regular spaces. (English) Zbl 07681290

Higher homomorphisms and their approximations. (English) Zbl 07680449

A Banach space with an infinite dimensional reflexive quotient algebra \(\mathcal{L}(X) / \mathcal{SS}(X)\). (English) Zbl 07679039

Spectral test for exponential stability. (English. Russian original) Zbl 07676241

Factorization for finite subdiagonal algebras of type 1. (English) Zbl 07676218

Description of finite-dimensional inner Rickart and Baer Jordan algebras. (English) Zbl 07675458

\(p\)-adic vertex operator algebras. (English) Zbl 07674894

Kakutani’s automorphism theorem for vector-valued bounded holomorphic functions. (English) Zbl 07674736

Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions. (English) Zbl 07674280

Approximately invertible elements in non-unital normed algebras. (English) Zbl 07674132

Jordan \(*\)-homomorphisms on the spaces of continuous maps taking values in \(C^*\)-algebras. (English) Zbl 07674004

Two-point and \(n\)th derivative norm inequalities for analytic functions in Banach algebras. (English) Zbl 07673150

Weak solvability via bipotentials for contact problems with power-law friction. (English) Zbl 07672820

Differentiable functions on modules and the equation \(\operatorname{Grad}(w)=\mathsf{M}\operatorname{Grad}(v)\). (English) Zbl 07672057

The structure of module Lie derivations on triangular Banach algebras. (English) Zbl 07670996

Maps preserving the local spectral subspace of product or Jordan triple product of operators. (English) Zbl 07670394

A unifying view of some Banach algebras. (English) Zbl 07670352

On functional tightness and local density of the space of probability measures. (English) Zbl 07669725

Drazin invertibility relative to some subsets of quasinilpotents and homomorphism ranges. (English) Zbl 07669093

Contributions to automatic continuity of \((\sigma , \tau ) \)-derivations on Banach algebras. (English) Zbl 07668792

Maps preserving products of commuting elements in von Neumann algebras. (English) Zbl 07668610

Hereditary subalgebras of a JB-algebra and the Jordan Pedersen ideal. (English) Zbl 07668606

On various spectra of elements of \(\mathcal{A} \times_\theta \mathcal{B}\). (English) Zbl 07667041

Almost composition operators between algebras of absolutely continuous functions. (English) Zbl 07667016

On the structure group of an infinite dimensional JB-algebra. (English) Zbl 07665495

Maps completely preserving the quadratic operators. (English) Zbl 07665265

Fréchet modules and descent. (English) Zbl 07662146

Commutativity theorems and projection on the center of a Banach algebra. (English) Zbl 07661845

A generalization of the Roberts orthogonality: from normed linear spaces to \(C^*\)-algebras. (English) Zbl 07661581

Multiplication operators in BV spaces. (English) Zbl 07660741

Baire functional calculus for bounded-locally operators. (English) Zbl 07659690

A notion of approximate biflatness for Banach algebras based on character space. (English) Zbl 07658708

A note on automatic continuity of \((\psi, \phi)\)-derivations. (English) Zbl 07658685

On the generalized Fredholm spectrum in a complex semisimple Banach algebra. (English) Zbl 07658684

On harmonic Hilbert spaces on compact abelian groups. (English) Zbl 07657576

Dense quasi-free subalgebras of the Toeplitz algebra. (English) Zbl 07655896

Ideal Connes-amenability of certain dual Banach algebras. (English) Zbl 07654715

Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero. (English) Zbl 07653566

Demicompactness perturbation in Banach algebras and some stability results. (English) Zbl 07650703

The space of pseudofunctions with application to disjointness preserving mappings. (English) Zbl 07648654

Power-norms based on Hilbert \(C^\ast\)-modules. (English) Zbl 07647273

A Bishop-Phelps-Bollobás theorem for bounded analytic functions. (English) Zbl 07646949

Maps that preserve the local spectral subspace of generalized product of operators. (English) Zbl 07640242

A noncommutative Gretsky-Ostroy theorem and its applications. (English) Zbl 07640175

A weak form of amenability of topological semigroups and its applications in ergodic and fixed point theories. (English) Zbl 07640072

Analysis and applications of sequential hybrid \(\psi\)-Hilfer fractional differential equations and inclusions in Banach algebra. (English) Zbl 07639075

On ideal amenability of \(\ell^1\)-Munn Banach algebras. (English) Zbl 07639065

Measure decomposing disentangling in Feynman’s operational calculus. (English) Zbl 07639064

Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators. (English) Zbl 1504.35664

Preservers of triple transition pseudo-probabilities in connection with orthogonality preservers and surjective isometries. (English) Zbl 07638772

On the automatic regularity of derivations from Riesz subalgebras of \(\mathcal{L}^r (X)\). (English) Zbl 07637411

Bernstein algebras that are algebraic and the Kurosh problem. (English) Zbl 1506.17023

Equivalence of some properties in the theory of Banach algebras and applications. (English) Zbl 07634992

Correction to: “Convergence structures and Hausdorff uo-Lebesgue topologies on vector lattice algebras of operators”. (English) Zbl 07628905

Extensions of the Hilbert-multi-norm in Hilbert \(C^\ast\)-modules. (English) Zbl 07628904

Derivations mapping into scattered operators. (English) Zbl 07628557

On the Gleason-Kahane-Żelazko theorem for associative algebras. (English) Zbl 1506.46039

From the Littlewood-Paley-Stein inequality to the Burkholder-Gundy inequality. (English) Zbl 07618834

Monadic forgetful functors and (non-)presentability for \(C^\ast\)- and \(W^\ast\)-algebras. (English) Zbl 1496.18011

Quotient algebras of Banach operator ideals related to non-classical approximation properties. (English) Zbl 07595149

Fixed product preserving mappings on Banach algebras. (English) Zbl 07590540

Regularity of certain commutative Banach rings. (English) Zbl 1506.46057

On characterizations of the image of Gelfand transform and BED property for vector valued \(\ell^p\)-algebras. (English) Zbl 1504.46061

An introduction to infinite-dimensional differential geometry. (English) Zbl 07575923

**Maps preserving product \(A^* B + BA^\) on \(C^\)-algebras.** (English) Zbl 07685994

**Jordan \(\)-homomorphisms on the spaces of continuous maps taking values in \(C^\)-algebras.** (English) Zbl 07674004

**A generalization of the Roberts orthogonality: from normed linear spaces to \(C^*\)-algebras.** (English) Zbl 07661581

**Banach-space operators on \(C^*\)-probability spaces generated by multi semicircular elements.** (English) Zbl 1504.46002

**Can one identify two unital JB*-algebras by the metric spaces determined by their sets of unitaries?** (English) Zbl 07681821